57811968000 has 1120 divisors, whose sum is σ = 233789604048. Its totient is φ = 14155776000.

The previous prime is 57811967987. The next prime is 57811968007. The reversal of 57811968000 is 86911875.

57811968000 is a `hidden beast` number, since 578 + 1 + 19 + 68 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 119771136 + 57692196864 = 10944^2 + 240192^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (57811968007) 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, 1410047980 + ... + 1410048020.

Almost surely, 2^57811968000 is an apocalyptic number.

57811968000 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 57811968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116894802024).

57811968000 is an abundant number, since it is smaller than the sum of its proper divisors (175977636048).

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

57811968000 is an equidigital number, since it uses as much as digits as its factorization.

57811968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 57811968000 in words is "fifty-seven billion, eight hundred eleven million, nine hundred sixty-eight thousand".