57377856000 has 320 divisors, whose sum is σ = 202000106880. Its totient is φ = 14399897600.

The previous prime is 57377855959. The next prime is 57377856071. The reversal of 57377856000 is 65877375.

57377856000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 3255211 + ... + 3272789.

It is an arithmetic number, because the mean of its divisors is an integer number (631250334).

Almost surely, 2^57377856000 is an apocalyptic number.

57377856000 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 57377856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101000053440).

57377856000 is an abundant number, since it is smaller than the sum of its proper divisors (144622250880).

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

57377856000 is a wasteful number, since it uses less digits than its factorization.

57377856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17632 (or 17606 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 48.

The spelling of 57377856000 in words is "fifty-seven billion, three hundred seventy-seven million, eight hundred fifty-six thousand".