57155096889800 has 768 divisors, whose sum is σ = 180687435264000. Its totient is φ = 16296400834560.

The previous prime is 57155096889799. The next prime is 57155096889833. The reversal of 57155096889800 is 898869055175.

It is a Cunningham number, because it is equal to 7560099²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1375917431 + ... + 1375958969.

It is an arithmetic number, because the mean of its divisors is an integer number (235270098000).

Almost surely, 2^{57155096889800} is an apocalyptic number.

57155096889800 is a gapful number since it is divisible by the number (50) 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 57155096889800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90343717632000).

57155096889800 is an abundant number, since it is smaller than the sum of its proper divisors (123532338374200).

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

57155096889800 is a wasteful number, since it uses less digits than its factorization.

57155096889800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41790 (or 41781 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 71.

The spelling of 57155096889800 in words is "fifty-seven trillion, one hundred fifty-five billion, ninety-six million, eight hundred eighty-nine thousand, eight hundred".