10496868791328 has 144 divisors (see below), whose sum is σ = 30835294963200. Its totient is φ = 3383679467520.

The previous prime is 10496868791281. The next prime is 10496868791369. The reversal of 10496868791328 is 82319786869401.

10496868791328 is a `hidden beast` number, since 1 + 0 + 496 + 8 + 68 + 79 + 1 + 3 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10496868791328² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12162333 + ... + 12996771.

It is an arithmetic number, because the mean of its divisors is an integer number (214133992800).

Almost surely, 2^{10496868791328} is an apocalyptic number.

10496868791328 is a gapful number since it is divisible by the number (18) 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 10496868791328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15417647481600).

10496868791328 is an abundant number, since it is smaller than the sum of its proper divisors (20338426171872).

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

10496868791328 is a wasteful number, since it uses less digits than its factorization.

10496868791328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835895 (or 835884 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 10496868791328 in words is "ten trillion, four hundred ninety-six billion, eight hundred sixty-eight million, seven hundred ninety-one thousand, three hundred twenty-eight".