57312000900 has 864 divisors, whose sum is σ = 243817728000. Its totient is φ = 11273644800.

The previous prime is 57312000883. The next prime is 57312000929. The reversal of 57312000900 is 900021375.

57312000900 is a `hidden beast` number, since 573 + 1 + 2 + 0 + 0 + 0 + 90 + 0 = 666.

57312000900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 43450441 + ... + 43451759.

Almost surely, 2^57312000900 is an apocalyptic number.

57312000900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57312000900 is the 119700-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57312000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121908864000).

57312000900 is an abundant number, since it is smaller than the sum of its proper divisors (186505727100).

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

57312000900 is a wasteful number, since it uses less digits than its factorization.

57312000900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The spelling of 57312000900 in words is "fifty-seven billion, three hundred twelve million, nine hundred", and thus it is an aban number.