57356880000 has 320 divisors, whose sum is σ = 217585600320. Its totient is φ = 13109760000.

The previous prime is 57356879971. The next prime is 57356880043. The reversal of 57356880000 is 8865375.

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 (42).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1662930 + ... + 1697070.

It is an arithmetic number, because the mean of its divisors is an integer number (679955001).

Almost surely, 2^57356880000 is an apocalyptic number.

57356880000 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 57356880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108792800160).

57356880000 is an abundant number, since it is smaller than the sum of its proper divisors (160228720320).

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

57356880000 is an equidigital number, since it uses as much as digits as its factorization.

57356880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34185 (or 34158 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 57356880000 in words is "fifty-seven billion, three hundred fifty-six million, eight hundred eighty thousand".