10931704971264 has 1440 divisors, whose sum is σ = 40610234945280. Its totient is φ = 2774815211520.

The previous prime is 10931704971251. The next prime is 10931704971401. The reversal of 10931704971264 is 46217940713901.

10931704971264 is a `hidden beast` number, since 1 + 0 + 93 + 1 + 7 + 0 + 497 + 1 + 2 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10931704971264.

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, 100290871242 + ... + 100290871350.

Almost surely, 2^{10931704971264} is an apocalyptic number.

10931704971264 is a gapful number since it is divisible by the number (14) 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 10931704971264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20305117472640).

10931704971264 is an abundant number, since it is smaller than the sum of its proper divisors (29678529974016).

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

10931704971264 is an equidigital number, since it uses as much as digits as its factorization.

10931704971264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 10931704971264 in words is "ten trillion, nine hundred thirty-one billion, seven hundred four million, nine hundred seventy-one thousand, two hundred sixty-four".