100080702425088 has 2304 divisors, whose sum is σ = 382772930641920. Its totient is φ = 24438531686400.

The previous prime is 100080702425047. The next prime is 100080702425107. The reversal of 100080702425088 is 880524207080001.

It is a happy number.

100080702425088 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 80 + 70 + 2 + 425 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×100080702425088² (a number of 29 digits) contains 22 as substring.

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, 389419075456 + ... + 389419075712.

It is an arithmetic number, because the mean of its divisors is an integer number (166134084480).

Almost surely, 2^{100080702425088} is an apocalyptic number.

100080702425088 is a gapful number since it is divisible by the number (18) 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 100080702425088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191386465320960).

100080702425088 is an abundant number, since it is smaller than the sum of its proper divisors (282692228216832).

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

100080702425088 is a wasteful number, since it uses less digits than its factorization.

100080702425088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 100080702425088 in words is "one hundred trillion, eighty billion, seven hundred two million, four hundred twenty-five thousand, eighty-eight".