113876098560 has 1120 divisors, whose sum is σ = 489476528640. Its totient is φ = 24831442944.

The previous prime is 113876098543. The next prime is 113876098577. The reversal of 113876098560 is 65890678311.

113876098560 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 76 + 0 + 9 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (113876098543) and next prime (113876098577).

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a junction number, because it is equal to n+sod(n) for n = 113876098497 and 113876098506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 300464451 + ... + 300464829.

Almost surely, 2^113876098560 is an apocalyptic number.

113876098560 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 113876098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244738264320).

113876098560 is an abundant number, since it is smaller than the sum of its proper divisors (375600430080).

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

113876098560 is an frugal number, since it uses more digits than its factorization.

113876098560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 113876098560 in words is "one hundred thirteen billion, eight hundred seventy-six million, ninety-eight thousand, five hundred sixty".