57425631661440 has 1536 divisors, whose sum is σ = 244456132377600. Its totient is φ = 12695305125888.

The previous prime is 57425631661339. The next prime is 57425631661441. The reversal of 57425631661440 is 4416613652475.

57425631661440 is a `hidden beast` number, since 5 + 7 + 4 + 2 + 5 + 6 + 3 + 16 + 614 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57425631661441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3750115224 + ... + 3750130536.

It is an arithmetic number, because the mean of its divisors is an integer number (159151127850).

Almost surely, 2^{57425631661440} 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 57425631661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122228066188800).

57425631661440 is an abundant number, since it is smaller than the sum of its proper divisors (187030500716160).

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

57425631661440 is a wasteful number, since it uses less digits than its factorization.

57425631661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15501 (or 15476 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 57425631661440 in words is "fifty-seven trillion, four hundred twenty-five billion, six hundred thirty-one million, six hundred sixty-one thousand, four hundred forty".