57876840000 has 1260 divisors, whose sum is σ = 256653503964. Its totient is φ = 12386304000.

The previous prime is 57876839971. The next prime is 57876840013. The reversal of 57876840000 is 4867875.

57876840000 is a `hidden beast` number, since 578 + 76 + 8 + 4 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 43888574016 + 13988265984 = 209496^2 + 118272^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 299879904 + ... + 299880096.

Almost surely, 2^57876840000 is an apocalyptic number.

57876840000 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 57876840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128326751982).

57876840000 is an abundant number, since it is smaller than the sum of its proper divisors (198776663964).

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

57876840000 is a wasteful number, since it uses less digits than its factorization.

57876840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 57876840000 in words is "fifty-seven billion, eight hundred seventy-six million, eight hundred forty thousand".