10008808994016 has 240 divisors, whose sum is σ = 33780321923040. Its totient is φ = 2847792660480.

The previous prime is 10008808993999. The next prime is 10008808994059. The reversal of 10008808994016 is 61049980880001.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3228240 + ... + 5517168.

It is an arithmetic number, because the mean of its divisors is an integer number (140751341346).

Almost surely, 2^{10008808994016} is an apocalyptic number.

10008808994016 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 10008808994016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16890160961520).

10008808994016 is an abundant number, since it is smaller than the sum of its proper divisors (23771512929024).

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

10008808994016 is a wasteful number, since it uses less digits than its factorization.

10008808994016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289199 (or 2289182 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 10008808994016 in words is "ten trillion, eight billion, eight hundred eight million, nine hundred ninety-four thousand, sixteen".