10726917120864 has 360 divisors, whose sum is σ = 36734695163712. Its totient is φ = 2965961940480.

The previous prime is 10726917120823. The next prime is 10726917120911. The reversal of 10726917120864 is 46802171962701.

10726917120864 is a `hidden beast` number, since 1 + 0 + 7 + 269 + 171 + 208 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10726917120864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 21185922 + ... + 21686334.

Almost surely, 2^{10726917120864} is an apocalyptic number.

10726917120864 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 10726917120864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18367347581856).

10726917120864 is an abundant number, since it is smaller than the sum of its proper divisors (26007778042848).

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

10726917120864 is an equidigital number, since it uses as much as digits as its factorization.

10726917120864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500488 (or 500456 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 10726917120864 in words is "ten trillion, seven hundred twenty-six billion, nine hundred seventeen million, one hundred twenty thousand, eight hundred sixty-four".