115868953872 has 600 divisors, whose sum is σ = 427417297560. Its totient is φ = 30075494400.

The previous prime is 115868953831. The next prime is 115868953873. The reversal of 115868953872 is 278359868511.

115868953872 is a `hidden beast` number, since 1 + 15 + 8 + 6 + 89 + 538 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26995804416 + 88873149456 = 164304^2 + 298116^2 .

It is a super-2 number, since 2×115868953872² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (115868953873) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31305622 + ... + 31309322.

Almost surely, 2^115868953872 is an apocalyptic number.

115868953872 is a gapful number since it is divisible by the number (12) 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 115868953872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213708648780).

115868953872 is an abundant number, since it is smaller than the sum of its proper divisors (311548343688).

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

115868953872 is a wasteful number, since it uses less digits than its factorization.

115868953872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3781 (or 3759 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 63.

The spelling of 115868953872 in words is "one hundred fifteen billion, eight hundred sixty-eight million, nine hundred fifty-three thousand, eight hundred seventy-two".