10580116924800 has 384 divisors, whose sum is σ = 40758205296000. Its totient is φ = 2672871229440.

The previous prime is 10580116924799. The next prime is 10580116924831. The reversal of 10580116924800 is 842961108501.

It is a happy number.

10580116924800 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 0 + 1 + 169 + 2 + 480 + 0 = 666.

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

It is a super-2 number, since 2×10580116924800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1580902 + ... + 4864101.

It is an arithmetic number, because the mean of its divisors is an integer number (106141159625).

Almost surely, 2^{10580116924800} is an apocalyptic number.

10580116924800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10580116924800 is an abundant number, since it is smaller than the sum of its proper divisors (30178088371200).

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

10580116924800 is a wasteful number, since it uses less digits than its factorization.

10580116924800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6445055 (or 6445032 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 10580116924800 in words is "ten trillion, five hundred eighty billion, one hundred sixteen million, nine hundred twenty-four thousand, eight hundred".