57080909952000 has 3168 divisors, whose sum is σ = 240744180208896. Its totient is φ = 13383180288000.

The previous prime is 57080909951999. The next prime is 57080909952091. The reversal of 57080909952000 is 25990908075.

It is a tau number, because it is divible by the number of its divisors (3168).

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 287 ways as a sum of consecutive naturals, for example, 341801855917 + ... + 341801856083.

Almost surely, 2^{57080909952000} is an apocalyptic number.

57080909952000 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 57080909952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120372090104448).

57080909952000 is an abundant number, since it is smaller than the sum of its proper divisors (183663270256896).

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

57080909952000 is an equidigital number, since it uses as much as digits as its factorization.

57080909952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 57080909952000 in words is "fifty-seven trillion, eighty billion, nine hundred nine million, nine hundred fifty-two thousand".