57390882441984 has 2160 divisors, whose sum is σ = 221615918691552. Its totient is φ = 14633997041664.

The previous prime is 57390882441983. The next prime is 57390882441989. The reversal of 57390882441984 is 48914428809375.

It is a happy number.

57390882441984 is a `hidden beast` number, since 5 + 7 + 3 + 90 + 8 + 8 + 2 + 441 + 98 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (57390882441983) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 51104970447 + ... + 51104971569.

Almost surely, 2^{57390882441984} is an apocalyptic number.

57390882441984 is a gapful number since it is divisible by the number (54) 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 57390882441984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110807959345776).

57390882441984 is an abundant number, since it is smaller than the sum of its proper divisors (164225036249568).

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

57390882441984 is a wasteful number, since it uses less digits than its factorization.

57390882441984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 57390882441984 in words is "fifty-seven trillion, three hundred ninety billion, eight hundred eighty-two million, four hundred forty-one thousand, nine hundred eighty-four".