10110980215680 has 256 divisors, whose sum is σ = 32573589350400. Its totient is φ = 2667433623552.

The previous prime is 10110980215663. The next prime is 10110980215733. The reversal of 10110980215680 is 8651208901101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 562994541 + ... + 563012499.

It is an arithmetic number, because the mean of its divisors is an integer number (127240583400).

Almost surely, 2^{10110980215680} is an apocalyptic number.

10110980215680 is a gapful number since it is divisible by the number (10) 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 10110980215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16286794675200).

10110980215680 is an abundant number, since it is smaller than the sum of its proper divisors (22462609134720).

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

10110980215680 is a wasteful number, since it uses less digits than its factorization.

10110980215680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21101 (or 21089 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 42.

The spelling of 10110980215680 in words is "ten trillion, one hundred ten billion, nine hundred eighty million, two hundred fifteen thousand, six hundred eighty".