57934800000 has 1728 divisors, whose sum is σ = 275541739200. Its totient is φ = 11404800000.

The previous prime is 57934799999. The next prime is 57934800031. The reversal of 57934800000 is 843975.

57934800000 is a `hidden beast` number, since 579 + 3 + 4 + 80 + 0 + 0 + 0 + 0 = 666.

57934800000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3049199991 + ... + 3049200009.

It is an arithmetic number, because the mean of its divisors is an integer number (159457025).

Almost surely, 2^57934800000 is an apocalyptic number.

57934800000 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 57934800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137770869600).

57934800000 is an abundant number, since it is smaller than the sum of its proper divisors (217606939200).

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

57934800000 is a wasteful number, since it uses less digits than its factorization.

57934800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 57934800000 in words is "fifty-seven billion, nine hundred thirty-four million, eight hundred thousand".