57781322980992 has 1024 divisors, whose sum is σ = 191291772672000. Its totient is φ = 17269139865600.

The previous prime is 57781322980961. The next prime is 57781322981071. The reversal of 57781322980992 is 29908922318775.

57781322980992 is a `hidden beast` number, since 57 + 7 + 81 + 322 + 98 + 0 + 9 + 92 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 57781322980992.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40434794934 + ... + 40434796362.

It is an arithmetic number, because the mean of its divisors is an integer number (186808371750).

Almost surely, 2^{57781322980992} is an apocalyptic number.

57781322980992 is a gapful number since it is divisible by the number (52) 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 57781322980992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95645886336000).

57781322980992 is an abundant number, since it is smaller than the sum of its proper divisors (133510449691008).

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

57781322980992 is a wasteful number, since it uses less digits than its factorization.

57781322980992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 57781322980992 in words is "fifty-seven trillion, seven hundred eighty-one billion, three hundred twenty-two million, nine hundred eighty thousand, nine hundred ninety-two".