10960345872 has 420 divisors, whose sum is σ = 37575975936. Its totient is φ = 3086294400.

The previous prime is 10960345867. The next prime is 10960345919. The reversal of 10960345872 is 27854306901.

10960345872 is a `hidden beast` number, since 1 + 0 + 9 + 60 + 3 + 4 + 587 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 72584997 + ... + 72585147.

It is a 1-persistent number, because it is pandigital, but 2⋅10960345872 = 21920691744 is not.

Almost surely, 2^10960345872 is an apocalyptic number.

10960345872 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 10960345872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18787987968).

10960345872 is an abundant number, since it is smaller than the sum of its proper divisors (26615630064).

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

10960345872 is a wasteful number, since it uses less digits than its factorization.

10960345872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10960345872 in words is "ten billion, nine hundred sixty million, three hundred forty-five thousand, eight hundred seventy-two".