115026567120 has 60 divisors (see below), whose sum is σ = 386297556996. Its totient is φ = 30673751040.

The previous prime is 115026567091. The next prime is 115026567151. The reversal of 115026567120 is 21765620511.

115026567120 is a `hidden beast` number, since 1 + 1 + 50 + 26 + 567 + 1 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70350135696 + 44676431424 = 265236^2 + 211368^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×115026567120² (a number of 23 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 79878841 + ... + 79880280.

Almost surely, 2^115026567120 is an apocalyptic number.

115026567120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115026567120 is an abundant number, since it is smaller than the sum of its proper divisors (271270989876).

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

115026567120 is a wasteful number, since it uses less digits than its factorization.

115026567120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159759140 (or 159759131 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 115026567120 in words is "one hundred fifteen billion, twenty-six million, five hundred sixty-seven thousand, one hundred twenty".