113387765760 has 504 divisors, whose sum is σ = 412216000560. Its totient is φ = 29896998912.

The previous prime is 113387765723. The next prime is 113387765773. The reversal of 113387765760 is 67567783311.

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 = 113387765697 and 113387765706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1274019796 + ... + 1274019884.

It is an arithmetic number, because the mean of its divisors is an integer number (817888890).

Almost surely, 2^113387765760 is an apocalyptic number.

113387765760 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 113387765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206108000280).

113387765760 is an abundant number, since it is smaller than the sum of its proper divisors (298828234800).

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

113387765760 is an frugal number, since it uses more digits than its factorization.

113387765760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 113387765760 in words is "one hundred thirteen billion, three hundred eighty-seven million, seven hundred sixty-five thousand, seven hundred sixty".