10891855755264 has 192 divisors, whose sum is σ = 32533823387520. Its totient is φ = 3211357224960.

The previous prime is 10891855755247. The next prime is 10891855755323. The reversal of 10891855755264 is 46255755819801.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 10891855755195 and 10891855755204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322767 + ... + 4678449.

It is an arithmetic number, because the mean of its divisors is an integer number (169446996810).

Almost surely, 2^{10891855755264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10891855755264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16266911693760).

10891855755264 is an abundant number, since it is smaller than the sum of its proper divisors (21641967632256).

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

10891855755264 is a wasteful number, since it uses less digits than its factorization.

10891855755264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4355756 (or 4355736 counting only the distinct ones).

The product of its (nonzero) digits is 120960000, while the sum is 66.

The spelling of 10891855755264 in words is "ten trillion, eight hundred ninety-one billion, eight hundred fifty-five million, seven hundred fifty-five thousand, two hundred sixty-four".