113415185520 has 480 divisors, whose sum is σ = 476744486400. Its totient is φ = 23522973696.

The previous prime is 113415185497. The next prime is 113415185581. The reversal of 113415185520 is 25581514311.

113415185520 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 1 + 51 + 85 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3851011 + ... + 3880349.

It is an arithmetic number, because the mean of its divisors is an integer number (993217680).

Almost surely, 2^113415185520 is an apocalyptic number.

113415185520 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 113415185520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238372243200).

113415185520 is an abundant number, since it is smaller than the sum of its proper divisors (363329300880).

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

113415185520 is a wasteful number, since it uses less digits than its factorization.

113415185520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29437 (or 29428 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

Adding to 113415185520 its reverse (25581514311), we get a palindrome (138996699831).

The spelling of 113415185520 in words is "one hundred thirteen billion, four hundred fifteen million, one hundred eighty-five thousand, five hundred twenty".