57402562560 has 384 divisors, whose sum is σ = 211228093440. Its totient is φ = 13036290048.

The previous prime is 57402562549. The next prime is 57402562583. The reversal of 57402562560 is 6526520475.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37201149 + ... + 37202691.

It is an arithmetic number, because the mean of its divisors is an integer number (550073160).

Almost surely, 2^57402562560 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 57402562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105614046720).

57402562560 is an abundant number, since it is smaller than the sum of its proper divisors (153825530880).

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

57402562560 is a wasteful number, since it uses less digits than its factorization.

57402562560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 57402562560 in words is "fifty-seven billion, four hundred two million, five hundred sixty-two thousand, five hundred sixty".