57956010840 has 1024 divisors, whose sum is σ = 256725504000. Its totient is φ = 11287019520.

The previous prime is 57956010823. The next prime is 57956010841. The reversal of 57956010840 is 4801065975.

57956010840 is a `hidden beast` number, since 5 + 7 + 9 + 560 + 1 + 0 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57956010841) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 76559742 + ... + 76560498.

It is an arithmetic number, because the mean of its divisors is an integer number (250708500).

Almost surely, 2^57956010840 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 57956010840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128362752000).

57956010840 is an abundant number, since it is smaller than the sum of its proper divisors (198769493160).

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

57956010840 is a wasteful number, since it uses less digits than its factorization.

57956010840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 57956010840 in words is "fifty-seven billion, nine hundred fifty-six million, ten thousand, eight hundred forty".