57757557000 has 1024 divisors, whose sum is σ = 225833287680. Its totient is φ = 12096000000.

The previous prime is 57757556953. The next prime is 57757557019. The reversal of 57757557000 is 75575775.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 571856950 + ... + 571857050.

It is an arithmetic number, because the mean of its divisors is an integer number (220540320).

Almost surely, 2^57757557000 is an apocalyptic number.

57757557000 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 57757557000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112916643840).

57757557000 is an abundant number, since it is smaller than the sum of its proper divisors (168075730680).

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

57757557000 is a wasteful number, since it uses less digits than its factorization.

57757557000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1500625, while the sum is 48.

The spelling of 57757557000 in words is "fifty-seven billion, seven hundred fifty-seven million, five hundred fifty-seven thousand".