57293116344000 has 1120 divisors, whose sum is σ = 225280318348800. Its totient is φ = 14333208422400.

The previous prime is 57293116343999. The next prime is 57293116344007. The reversal of 57293116344000 is 44361139275.

57293116344000 is a `hidden beast` number, since 5 + 7 + 2 + 9 + 3 + 1 + 1 + 634 + 4 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (57293116344007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1268113411 + ... + 1268158589.

Almost surely, 2^{57293116344000} is an apocalyptic number.

57293116344000 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 57293116344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112640159174400).

57293116344000 is an abundant number, since it is smaller than the sum of its proper divisors (167987202004800).

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

57293116344000 is a wasteful number, since it uses less digits than its factorization.

57293116344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45340 (or 45311 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 57293116344000 in words is "fifty-seven trillion, two hundred ninety-three billion, one hundred sixteen million, three hundred forty-four thousand".