57765972000 has 768 divisors, whose sum is σ = 220096880640. Its totient is φ = 13105664000.

The previous prime is 57765971987. The next prime is 57765972041. The reversal of 57765972000 is 27956775.

It is a super-2 number, since 2×57765972000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 160907821 + ... + 160908179.

It is an arithmetic number, because the mean of its divisors is an integer number (286584480).

Almost surely, 2^57765972000 is an apocalyptic number.

57765972000 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 57765972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110048440320).

57765972000 is an abundant number, since it is smaller than the sum of its proper divisors (162330908640).

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

57765972000 is a wasteful number, since it uses less digits than its factorization.

57765972000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 48.

The spelling of 57765972000 in words is "fifty-seven billion, seven hundred sixty-five million, nine hundred seventy-two thousand".