10880622969216 has 1536 divisors, whose sum is σ = 42173182033920. Its totient is φ = 2434651914240.

The previous prime is 10880622969187. The next prime is 10880622969269. The reversal of 10880622969216 is 61296922608801.

It is a self number, because there is not a number n which added to its sum of digits gives 10880622969216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5809194456 + ... + 5809196328.

It is an arithmetic number, because the mean of its divisors is an integer number (27456498720).

Almost surely, 2^{10880622969216} is an apocalyptic number.

10880622969216 is a gapful number since it is divisible by the number (16) 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 10880622969216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21086591016960).

10880622969216 is an abundant number, since it is smaller than the sum of its proper divisors (31292559064704).

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

10880622969216 is a wasteful number, since it uses less digits than its factorization.

10880622969216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 60.

The spelling of 10880622969216 in words is "ten trillion, eight hundred eighty billion, six hundred twenty-two million, nine hundred sixty-nine thousand, two hundred sixteen".