385275251520 has 448 divisors, whose sum is σ = 1406839756800. Its totient is φ = 99154575360.

The previous prime is 385275251453. The next prime is 385275251521. The reversal of 385275251520 is 25152572583.

385275251520 is a `hidden beast` number, since 3 + 8 + 5 + 2 + 75 + 2 + 51 + 520 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385275251521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109544802 + ... + 109548318.

Almost surely, 2^385275251520 is an apocalyptic number.

385275251520 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 385275251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703419878400).

385275251520 is an abundant number, since it is smaller than the sum of its proper divisors (1021564505280).

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

385275251520 is a wasteful number, since it uses less digits than its factorization.

385275251520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3983 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 385275251520 in words is "three hundred eighty-five billion, two hundred seventy-five million, two hundred fifty-one thousand, five hundred twenty".