57125815600 has 120 divisors (see below), whose sum is σ = 157640902400. Its totient is φ = 19487381760.

The previous prime is 57125815573. The next prime is 57125815651. The reversal of 57125815600 is 651852175.

It is a happy number.

57125815600 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 (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505939 + ... + 608461.

Almost surely, 2^57125815600 is an apocalyptic number.

57125815600 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 57125815600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78820451200).

57125815600 is an abundant number, since it is smaller than the sum of its proper divisors (100515086800).

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

57125815600 is a wasteful number, since it uses less digits than its factorization.

57125815600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102747 (or 102736 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 40.

The spelling of 57125815600 in words is "fifty-seven billion, one hundred twenty-five million, eight hundred fifteen thousand, six hundred".