57083307240960 has 4800 divisors, whose sum is σ = 288883046301696. Its totient is φ = 10463365693440.

The previous prime is 57083307240923. The next prime is 57083307240961. The reversal of 57083307240960 is 6904270338075.

57083307240960 is a `hidden beast` number, since 5 + 7 + 0 + 8 + 3 + 307 + 240 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 57083307240897 and 57083307240906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57083307240961) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 52514541537 + ... + 52514542623.

Almost surely, 2^{57083307240960} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57083307240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144441523150848).

57083307240960 is an abundant number, since it is smaller than the sum of its proper divisors (231799739060736).

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

57083307240960 is a wasteful number, since it uses less digits than its factorization.

57083307240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 57083307240960 in words is "fifty-seven trillion, eighty-three billion, three hundred seven million, two hundred forty thousand, nine hundred sixty".