57461937684480 has 2880 divisors, whose sum is σ = 253257902456832. Its totient is φ = 12200013987840.

The previous prime is 57461937684461. The next prime is 57461937684539. The reversal of 57461937684480 is 8448673916475.

57461937684480 is a `hidden beast` number, since 5 + 7 + 4 + 61 + 9 + 3 + 7 + 6 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 = 57461937684399 and 57461937684408.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 300847841185 + ... + 300847841375.

Almost surely, 2^{57461937684480} 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 57461937684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126628951228416).

57461937684480 is an abundant number, since it is smaller than the sum of its proper divisors (195795964772352).

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

57461937684480 is a wasteful number, since it uses less digits than its factorization.

57461937684480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 57461937684480 in words is "fifty-seven trillion, four hundred sixty-one billion, nine hundred thirty-seven million, six hundred eighty-four thousand, four hundred eighty".