10116044355120 has 640 divisors, whose sum is σ = 36167193722880. Its totient is φ = 2315117629440.

The previous prime is 10116044355107. The next prime is 10116044355181. The reversal of 10116044355120 is 2155344061101.

10116044355120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1519150351 + ... + 1519157009.

It is an arithmetic number, because the mean of its divisors is an integer number (56511240192).

Almost surely, 2^{10116044355120} is an apocalyptic number.

10116044355120 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 10116044355120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18083596861440).

10116044355120 is an abundant number, since it is smaller than the sum of its proper divisors (26051149367760).

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

10116044355120 is a wasteful number, since it uses less digits than its factorization.

10116044355120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7033 (or 7027 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 10116044355120 in words is "ten trillion, one hundred sixteen billion, forty-four million, three hundred fifty-five thousand, one hundred twenty".