10752475817160 has 512 divisors, whose sum is σ = 47314185523200. Its totient is φ = 2102852136960.

The previous prime is 10752475817107. The next prime is 10752475817233. The reversal of 10752475817160 is 6171857425701.

It is a happy number.

10752475817160 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 2 + 47 + 581 + 7 + 16 + 0 = 666.

It is a super-2 number, since 2×10752475817160² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10752475817097 and 10752475817106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2389182 + ... + 5216621.

It is an arithmetic number, because the mean of its divisors is an integer number (92410518600).

Almost surely, 2^{10752475817160} is an apocalyptic number.

10752475817160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10752475817160 is an abundant number, since it is smaller than the sum of its proper divisors (36561709706040).

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

10752475817160 is a wasteful number, since it uses less digits than its factorization.

10752475817160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7605858 (or 7605848 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 54.

The spelling of 10752475817160 in words is "ten trillion, seven hundred fifty-two billion, four hundred seventy-five million, eight hundred seventeen thousand, one hundred sixty".