395627950080 has 1248 divisors, whose sum is σ = 1586519376960. Its totient is φ = 94595973120.

The previous prime is 395627950021. The next prime is 395627950099. The reversal of 395627950080 is 80059726593.

395627950080 is a `hidden beast` number, since 3 + 9 + 5 + 62 + 79 + 500 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 395627949999 and 395627950026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5419560924 + ... + 5419560996.

Almost surely, 2^395627950080 is an apocalyptic number.

395627950080 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 395627950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793259688480).

395627950080 is an abundant number, since it is smaller than the sum of its proper divisors (1190891426880).

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

395627950080 is an frugal number, since it uses more digits than its factorization.

395627950080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 395627950080 in words is "three hundred ninety-five billion, six hundred twenty-seven million, nine hundred fifty thousand, eighty".