10961292888 has 384 divisors, whose sum is σ = 38745907200. Its totient is φ = 2718489600.

The previous prime is 10961292833. The next prime is 10961292899. The reversal of 10961292888 is 88829216901.

10961292888 is a `hidden beast` number, since 10 + 9 + 612 + 9 + 2 + 8 + 8 + 8 = 666.

It is a super-3 number, since 3×10961292888³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23776978 + ... + 23777438.

It is an arithmetic number, because the mean of its divisors is an integer number (100900800).

Almost surely, 2^10961292888 is an apocalyptic number.

10961292888 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 10961292888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19372953600).

10961292888 is an abundant number, since it is smaller than the sum of its proper divisors (27784614312).

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

10961292888 is a wasteful number, since it uses less digits than its factorization.

10961292888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

It can be divided in two parts, 109612 and 92888, that added together give a square (202500 = 450²).

The spelling of 10961292888 in words is "ten billion, nine hundred sixty-one million, two hundred ninety-two thousand, eight hundred eighty-eight".