57906340128000 has 6912 divisors, whose sum is σ = 288587735654400. Its totient is φ = 11222522265600.

The previous prime is 57906340127969. The next prime is 57906340128023. The reversal of 57906340128000 is 82104360975.

57906340128000 is a `hidden beast` number, since 5 + 7 + 9 + 0 + 634 + 0 + 1 + 2 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 793237535964 + ... + 793237536036.

It is a 1-persistent number, because it is pandigital, but 2⋅57906340128000 = 115812680256000 is not.

Almost surely, 2^{57906340128000} is an apocalyptic number.

57906340128000 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 57906340128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144293867827200).

57906340128000 is an abundant number, since it is smaller than the sum of its proper divisors (230681395526400).

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

57906340128000 is a wasteful number, since it uses less digits than its factorization.

57906340128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

Adding to 57906340128000 its reverse (82104360975), we get a palindrome (57988444488975).

The spelling of 57906340128000 in words is "fifty-seven trillion, nine hundred six billion, three hundred forty million, one hundred twenty-eight thousand".