57392375040000 has 7200 divisors, whose sum is σ = 296458860297600. Its totient is φ = 10868981760000.

The previous prime is 57392375039977. The next prime is 57392375040037. The reversal of 57392375040000 is 4057329375.

57392375040000 is a `hidden beast` number, since 5 + 7 + 3 + 9 + 237 + 5 + 0 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 726485759961 + ... + 726485760039.

It is an arithmetic number, because the mean of its divisors is an integer number (41174841708).

Almost surely, 2^{57392375040000} is an apocalyptic number.

57392375040000 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 57392375040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148229430148800).

57392375040000 is an abundant number, since it is smaller than the sum of its proper divisors (239066485257600).

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

57392375040000 is a wasteful number, since it uses less digits than its factorization.

57392375040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 57392375040000 in words is "fifty-seven trillion, three hundred ninety-two billion, three hundred seventy-five million, forty thousand".