57082060800 has 1008 divisors, whose sum is σ = 224796778752. Its totient is φ = 14332723200.

The previous prime is 57082060781. The next prime is 57082060877. The reversal of 57082060800 is 806028075.

57082060800 is a `hidden beast` number, since 570 + 8 + 2 + 0 + 6 + 0 + 80 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 1542758382 + ... + 1542758418.

Almost surely, 2^57082060800 is an apocalyptic number.

57082060800 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 57082060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112398389376).

57082060800 is an abundant number, since it is smaller than the sum of its proper divisors (167714717952).

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

57082060800 is an equidigital number, since it uses as much as digits as its factorization.

57082060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 57082060800 its reverse (806028075), we get a palindrome (57888088875).

The spelling of 57082060800 in words is "fifty-seven billion, eighty-two million, sixty thousand, eight hundred".