10966874688 has 672 divisors, whose sum is σ = 41511321600. Its totient is φ = 2778209280.

The previous prime is 10966874669. The next prime is 10966874701. The reversal of 10966874688 is 88647866901.

10966874688 is a `hidden beast` number, since 1 + 0 + 96 + 6 + 87 + 468 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 86353281 + ... + 86353407.

It is an arithmetic number, because the mean of its divisors is an integer number (61772800).

Almost surely, 2^10966874688 is an apocalyptic number.

10966874688 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 10966874688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20755660800).

10966874688 is an abundant number, since it is smaller than the sum of its proper divisors (30544446912).

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

10966874688 is a wasteful number, since it uses less digits than its factorization.

10966874688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 10966874688 in words is "ten billion, nine hundred sixty-six million, eight hundred seventy-four thousand, six hundred eighty-eight".