115927719120 has 90 divisors (see below), whose sum is σ = 389354607798. Its totient is φ = 30911622144.

The previous prime is 115927719113. The next prime is 115927719137. The reversal of 115927719120 is 21917729511.

It can be written as a sum of positive squares in 3 ways, for example, as 1745902656 + 114181816464 = 41784^2 + 337908^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×115927719120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9129736 + ... + 9142424.

Almost surely, 2^115927719120 is an apocalyptic number.

115927719120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115927719120 is an abundant number, since it is smaller than the sum of its proper divisors (273426888678).

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

115927719120 is an frugal number, since it uses more digits than its factorization.

115927719120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25397 (or 12699 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 45.

Multiplying 115927719120 by its sum of digits (45), we get a square (5216747360400 = 2284020²).

115927719120 divided by its sum of digits (45) gives a square (2576171536 = 50756²).

The spelling of 115927719120 in words is "one hundred fifteen billion, nine hundred twenty-seven million, seven hundred nineteen thousand, one hundred twenty".