57015463968000 has 432 divisors, whose sum is σ = 214078218471936. Its totient is φ = 14543073177600.

The previous prime is 57015463967971. The next prime is 57015463968037. The reversal of 57015463968000 is 86936451075.

57015463968000 is a `hidden beast` number, since 5 + 7 + 0 + 1 + 546 + 3 + 96 + 8 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2320297 + ... + 10927703.

It is an arithmetic number, because the mean of its divisors is an integer number (495551431648).

Almost surely, 2^{57015463968000} is an apocalyptic number.

57015463968000 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 57015463968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107039109235968).

57015463968000 is an abundant number, since it is smaller than the sum of its proper divisors (157062754503936).

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

57015463968000 is a wasteful number, since it uses less digits than its factorization.

57015463968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8607467 (or 8607440 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 57015463968000 in words is "fifty-seven trillion, fifteen billion, four hundred sixty-three million, nine hundred sixty-eight thousand".