57125392486400 has 1248 divisors, whose sum is σ = 172982848389120. Its totient is φ = 18290890506240.

The previous prime is 57125392486381. The next prime is 57125392486403. The reversal of 57125392486400 is 468429352175.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (57125392486403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149152460609 + ... + 149152460991.

It is a 1-persistent number, because it is pandigital, but 2⋅57125392486400 = 114250784972800 is not.

Almost surely, 2^{57125392486400} is an apocalyptic number.

57125392486400 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 57125392486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86491424194560).

57125392486400 is an abundant number, since it is smaller than the sum of its proper divisors (115857455902720).

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

57125392486400 is a wasteful number, since it uses less digits than its factorization.

57125392486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 56.

The spelling of 57125392486400 in words is "fifty-seven trillion, one hundred twenty-five billion, three hundred ninety-two million, four hundred eighty-six thousand, four hundred".