113935726520 has 512 divisors, whose sum is σ = 362811985920. Its totient is φ = 31094046720.

The previous prime is 113935726507. The next prime is 113935726547. The reversal of 113935726520 is 25627539311.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44557082 + ... + 44559638.

It is an arithmetic number, because the mean of its divisors is an integer number (708617160).

Almost surely, 2^113935726520 is an apocalyptic number.

113935726520 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 113935726520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181405992960).

113935726520 is an abundant number, since it is smaller than the sum of its proper divisors (248876259400).

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

113935726520 is a wasteful number, since it uses less digits than its factorization.

113935726520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 44.

The spelling of 113935726520 in words is "one hundred thirteen billion, nine hundred thirty-five million, seven hundred twenty-six thousand, five hundred twenty".