10965764880 has 960 divisors, whose sum is σ = 47621952000. Its totient is φ = 2316625920.

The previous prime is 10965764879. The next prime is 10965764891. The reversal of 10965764880 is 8846756901.

10965764880 is a `hidden beast` number, since 1 + 0 + 96 + 5 + 76 + 488 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 267457660 + ... + 267457700.

It is an arithmetic number, because the mean of its divisors is an integer number (49606200).

Almost surely, 2^10965764880 is an apocalyptic number.

10965764880 is a gapful number since it is divisible by the number (10) 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 10965764880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23810976000).

10965764880 is an abundant number, since it is smaller than the sum of its proper divisors (36656187120).

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

10965764880 is a wasteful number, since it uses less digits than its factorization.

10965764880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 10965764880 in words is "ten billion, nine hundred sixty-five million, seven hundred sixty-four thousand, eight hundred eighty".