395507812500 has 210 divisors, whose sum is σ = 1292419433382. Its totient is φ = 105468750000.

The previous prime is 395507812471. The next prime is 395507812507. The reversal of 395507812500 is 5218705593.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

395507812500 is a `hidden beast` number, since 3 + 9 + 550 + 78 + 1 + 25 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 370194366096 + 25313446404 = 608436^2 + 159102^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 5.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 9375 × 5625 × 7500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395507812507) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 79101562498 + ... + 79101562502.

Almost surely, 2^395507812500 is an apocalyptic number.

395507812500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395507812500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646209716691).

395507812500 is an abundant number, since it is smaller than the sum of its proper divisors (896911620882).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

395507812500 is an frugal number, since it uses more digits than its factorization.

395507812500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

Multiplying 395507812500 by its sum of digits (45), we get a square (17797851562500 = 4218750²).

395507812500 divided by its sum of digits (45) gives a square (8789062500 = 93750²).

The spelling of 395507812500 in words is "three hundred ninety-five billion, five hundred seven million, eight hundred twelve thousand, five hundred".