57132870912 has 288 divisors, whose sum is σ = 182815032960. Its totient is φ = 17495654400.

The previous prime is 57132870871. The next prime is 57132870917. The reversal of 57132870912 is 21907823175.

57132870912 is a `hidden beast` number, since 571 + 3 + 2 + 8 + 70 + 9 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57132870917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20395912 + ... + 20398712.

It is an arithmetic number, because the mean of its divisors is an integer number (634774420).

Almost surely, 2^57132870912 is an apocalyptic number.

57132870912 is a gapful number since it is divisible by the number (52) 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 57132870912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91407516480).

57132870912 is an abundant number, since it is smaller than the sum of its proper divisors (125682162048).

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

57132870912 is a wasteful number, since it uses less digits than its factorization.

57132870912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 57132870912 in words is "fifty-seven billion, one hundred thirty-two million, eight hundred seventy thousand, nine hundred twelve".