5705456460480 has 280 divisors, whose sum is σ = 23194643443488. Its totient is φ = 1304104292352.

The previous prime is 5705456460469. The next prime is 5705456460523. The reversal of 5705456460480 is 840646545075.

5705456460480 is a `hidden beast` number, since 5 + 7 + 0 + 5 + 45 + 64 + 60 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15541269 + ... + 15904148.

Almost surely, 2^{5705456460480} is an apocalyptic number.

It is an amenable number.

5705456460480 is an abundant number, since it is smaller than the sum of its proper divisors (17489186983008).

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

5705456460480 is a wasteful number, since it uses less digits than its factorization.

5705456460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31445453 (or 31445434 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 5705456460480 in words is "five trillion, seven hundred five billion, four hundred fifty-six million, four hundred sixty thousand, four hundred eighty".