57816770501100 has 144 divisors (see below), whose sum is σ = 180172186554528. Its totient is φ = 14230156738560.

The previous prime is 57816770501059. The next prime is 57816770501123. The reversal of 57816770501100 is 110507761875.

It is a self number, because there is not a number n which added to its sum of digits gives 57816770501100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32666092 + ... + 34390508.

It is an arithmetic number, because the mean of its divisors is an integer number (1251195739962).

Almost surely, 2^{57816770501100} is an apocalyptic number.

57816770501100 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 57816770501100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90086093277264).

57816770501100 is an abundant number, since it is smaller than the sum of its proper divisors (122355416053428).

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

57816770501100 is a wasteful number, since it uses less digits than its factorization.

57816770501100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733044 (or 1733037 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 48.

The spelling of 57816770501100 in words is "fifty-seven trillion, eight hundred sixteen billion, seven hundred seventy million, five hundred one thousand, one hundred".