57838055520 has 864 divisors, whose sum is σ = 230294679552. Its totient is φ = 12160253952.

The previous prime is 57838055519. The next prime is 57838055533. The reversal of 57838055520 is 2555083875.

57838055520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 57838055520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 455417697 + ... + 455417823.

It is an arithmetic number, because the mean of its divisors is an integer number (266544768).

Almost surely, 2^57838055520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57838055520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115147339776).

57838055520 is an abundant number, since it is smaller than the sum of its proper divisors (172456624032).

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

57838055520 is a wasteful number, since it uses less digits than its factorization.

57838055520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 48.

The spelling of 57838055520 in words is "fifty-seven billion, eight hundred thirty-eight million, fifty-five thousand, five hundred twenty".