57652992000 has 768 divisors, whose sum is σ = 224864640000. Its totient is φ = 14531788800.

The previous prime is 57652991987. The next prime is 57652992079. The reversal of 57652992000 is 29925675.

57652992000 is a `hidden beast` number, since 576 + 52 + 9 + 9 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 131327781 + ... + 131328219.

It is an arithmetic number, because the mean of its divisors is an integer number (292792500).

Almost surely, 2^57652992000 is an apocalyptic number.

57652992000 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 57652992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112432320000).

57652992000 is an abundant number, since it is smaller than the sum of its proper divisors (167211648000).

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

57652992000 is a wasteful number, since it uses less digits than its factorization.

57652992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 57652992000 in words is "fifty-seven billion, six hundred fifty-two million, nine hundred ninety-two thousand".