57715980000 has 480 divisors, whose sum is σ = 218225145600. Its totient is φ = 13079040000.

The previous prime is 57715979957. The next prime is 57715980001. The reversal of 57715980000 is 8951775.

57715980000 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 (480).

It is a super-2 number, since 2×57715980000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57715980001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55019476 + ... + 55020524.

It is an arithmetic number, because the mean of its divisors is an integer number (454635720).

Almost surely, 2^57715980000 is an apocalyptic number.

57715980000 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 57715980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109112572800).

57715980000 is an abundant number, since it is smaller than the sum of its proper divisors (160509165600).

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

57715980000 is a wasteful number, since it uses less digits than its factorization.

57715980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 42.

The spelling of 57715980000 in words is "fifty-seven billion, seven hundred fifteen million, nine hundred eighty thousand".