57235397174496 has 288 divisors, whose sum is σ = 176028042153600. Its totient is φ = 17571777527808.

The previous prime is 57235397174453. The next prime is 57235397174509. The reversal of 57235397174496 is 69447179353275.

57235397174496 is a `hidden beast` number, since 5 + 7 + 2 + 35 + 3 + 97 + 17 + 4 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2519484930 + ... + 2519507646.

It is an arithmetic number, because the mean of its divisors is an integer number (611208479700).

Almost surely, 2^{57235397174496} 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 57235397174496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88014021076800).

57235397174496 is an abundant number, since it is smaller than the sum of its proper divisors (118792644979104).

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

57235397174496 is a wasteful number, since it uses less digits than its factorization.

57235397174496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33746 (or 33735 counting only the distinct ones).

The product of its digits is 1200225600, while the sum is 72.

The spelling of 57235397174496 in words is "fifty-seven trillion, two hundred thirty-five billion, three hundred ninety-seven million, one hundred seventy-four thousand, four hundred ninety-six".