57492996498432 has 2376 divisors, whose sum is σ = 211265800252416. Its totient is φ = 14977695744000.

The previous prime is 57492996498359. The next prime is 57492996498437. The reversal of 57492996498432 is 23489469929475.

It is a happy number.

57492996498432 is a `hidden beast` number, since 5 + 7 + 4 + 9 + 2 + 9 + 96 + 4 + 98 + 432 = 666.

Its product of digits (8465264640) is a multiple of the sum of its prime factors (405).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57492996498437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 212151278457 + ... + 212151278727.

Almost surely, 2^{57492996498432} 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 57492996498432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105632900126208).

57492996498432 is an abundant number, since it is smaller than the sum of its proper divisors (153772803753984).

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

57492996498432 is a wasteful number, since it uses less digits than its factorization.

57492996498432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 354 counting only the distinct ones).

The product of its digits is 8465264640, while the sum is 81.

The spelling of 57492996498432 in words is "fifty-seven trillion, four hundred ninety-two billion, nine hundred ninety-six million, four hundred ninety-eight thousand, four hundred thirty-two".