57868992000 has 720 divisors, whose sum is σ = 219754591056. Its totient is φ = 15178752000.

The previous prime is 57868991963. The next prime is 57868992019. The reversal of 57868992000 is 29986875.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

57868992000 is a `hidden beast` number, since 578 + 68 + 9 + 9 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 948671970 + ... + 948672030.

Almost surely, 2^57868992000 is an apocalyptic number.

57868992000 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 57868992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109877295528).

57868992000 is an abundant number, since it is smaller than the sum of its proper divisors (161885599056).

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

57868992000 is an frugal number, since it uses more digits than its factorization.

57868992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 57868992000 in words is "fifty-seven billion, eight hundred sixty-eight million, nine hundred ninety-two thousand".