57961876740480 has 384 divisors, whose sum is σ = 201912933381120. Its totient is φ = 15320554389504.

The previous prime is 57961876740479. The next prime is 57961876740613. The reversal of 57961876740480 is 8404767816975.

57961876740480 is a `hidden beast` number, since 5 + 7 + 9 + 6 + 1 + 8 + 76 + 74 + 0 + 480 = 666.

57961876740480 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 57961876740399 and 57961876740408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 799515114 + ... + 799587606.

It is an arithmetic number, because the mean of its divisors is an integer number (525814930680).

Almost surely, 2^{57961876740480} 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 57961876740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100956466690560).

57961876740480 is an abundant number, since it is smaller than the sum of its proper divisors (143951056640640).

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

57961876740480 is a wasteful number, since it uses less digits than its factorization.

57961876740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73738 (or 73723 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 57961876740480 in words is "fifty-seven trillion, nine hundred sixty-one billion, eight hundred seventy-six million, seven hundred forty thousand, four hundred eighty".