56671059144960 has 576 divisors, whose sum is σ = 219182512147200. Its totient is φ = 13781720236032.

The previous prime is 56671059144937. The next prime is 56671059144977. The reversal of 56671059144960 is 6944195017665.

56671059144960 is a `hidden beast` number, since 5 + 66 + 71 + 0 + 5 + 9 + 1 + 449 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×56671059144960² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36530376 + ... + 38050104.

It is an arithmetic number, because the mean of its divisors is an integer number (380525194700).

Almost surely, 2^{56671059144960} 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 56671059144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109591256073600).

56671059144960 is an abundant number, since it is smaller than the sum of its proper divisors (162511453002240).

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

56671059144960 is a wasteful number, since it uses less digits than its factorization.

56671059144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519855 (or 1519835 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 56671059144960 in words is "fifty-six trillion, six hundred seventy-one billion, fifty-nine million, one hundred forty-four thousand, nine hundred sixty".