10608076991232 has 1296 divisors, whose sum is σ = 40028330133792. Its totient is φ = 2782459330560.

The previous prime is 10608076991167. The next prime is 10608076991263. The reversal of 10608076991232 is 23219967080601.

10608076991232 is a `hidden beast` number, since 1 + 0 + 608 + 0 + 7 + 6 + 9 + 9 + 1 + 23 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×10608076991232² (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2124587328 + ... + 2124592320.

It is an arithmetic number, because the mean of its divisors is an integer number (30886057202).

Almost surely, 2^{10608076991232} is an apocalyptic number.

10608076991232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10608076991232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20014165066896).

10608076991232 is an abundant number, since it is smaller than the sum of its proper divisors (29420253142560).

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

10608076991232 is an equidigital number, since it uses as much as digits as its factorization.

10608076991232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5096 (or 5063 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 10608076991232 in words is "ten trillion, six hundred eight billion, seventy-six million, nine hundred ninety-one thousand, two hundred thirty-two".