57450113136000 has 2560 divisors, whose sum is σ = 245440792396800. Its totient is φ = 13209993216000.

The previous prime is 57450113135983. The next prime is 57450113136011. The reversal of 57450113136000 is 63131105475.

57450113136000 is a `hidden beast` number, since 5 + 7 + 4 + 5 + 0 + 11 + 31 + 3 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 15146350104 + ... + 15146353896.

It is an arithmetic number, because the mean of its divisors is an integer number (95875309530).

Almost surely, 2^{57450113136000} is an apocalyptic number.

57450113136000 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 57450113136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122720396198400).

57450113136000 is an abundant number, since it is smaller than the sum of its proper divisors (187990679260800).

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

57450113136000 is a wasteful number, since it uses less digits than its factorization.

57450113136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3907 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 57450113136000 in words is "fifty-seven trillion, four hundred fifty billion, one hundred thirteen million, one hundred thirty-six thousand".