57397791096576 has 2592 divisors, whose sum is σ = 218673921123840. Its totient is φ = 14664095760384.

The previous prime is 57397791096571. The next prime is 57397791096593. The reversal of 57397791096576 is 67569019779375.

57397791096576 is a `hidden beast` number, since 5 + 7 + 39 + 7 + 7 + 9 + 1 + 0 + 9 + 6 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 57397791096495 and 57397791096504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57397791096571) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 507945053896 + ... + 507945054008.

Almost surely, 2^{57397791096576} is an apocalyptic number.

57397791096576 is a gapful number since it is divisible by the number (56) 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 57397791096576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109336960561920).

57397791096576 is an abundant number, since it is smaller than the sum of its proper divisors (161276130027264).

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

57397791096576 is a wasteful number, since it uses less digits than its factorization.

57397791096576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 4725888300, while the sum is 81.

The spelling of 57397791096576 in words is "fifty-seven trillion, three hundred ninety-seven billion, seven hundred ninety-one million, ninety-six thousand, five hundred seventy-six".