113988093785280 has 2016 divisors, whose sum is σ = 489151897049088. Its totient is φ = 24015373516800.

The previous prime is 113988093785219. The next prime is 113988093785297. The reversal of 113988093785280 is 82587390889311.

113988093785280 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 8 + 8 + 0 + 93 + 7 + 8 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 113988093785199 and 113988093785208.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24828595785 + ... + 24828600375.

It is an arithmetic number, because the mean of its divisors is an integer number (242634869568).

Almost surely, 2^{113988093785280} is an apocalyptic number.

113988093785280 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 113988093785280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244575948524544).

113988093785280 is an abundant number, since it is smaller than the sum of its proper divisors (375163803263808).

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

113988093785280 is a wasteful number, since it uses less digits than its factorization.

113988093785280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4843 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 113988093785280 in words is "one hundred thirteen trillion, nine hundred eighty-eight billion, ninety-three million, seven hundred eighty-five thousand, two hundred eighty".