10879403467968 has 224 divisors, whose sum is σ = 37402552901120. Its totient is φ = 3036112450560.

The previous prime is 10879403467949. The next prime is 10879403467993. The reversal of 10879403467968 is 86976430497801.

10879403467968 is a `hidden beast` number, since 1 + 0 + 8 + 79 + 4 + 0 + 3 + 467 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10879403467968² (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 a junction number, because it is equal to n+sod(n) for n = 10879403467896 and 10879403467905.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9938263 + ... + 10978518.

Almost surely, 2^{10879403467968} is an apocalyptic number.

10879403467968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10879403467968 is an abundant number, since it is smaller than the sum of its proper divisors (26523149433152).

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

10879403467968 is a wasteful number, since it uses less digits than its factorization.

10879403467968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20916852 (or 20916836 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 10879403467968 in words is "ten trillion, eight hundred seventy-nine billion, four hundred three million, four hundred sixty-seven thousand, nine hundred sixty-eight".