115853002272 has 384 divisors, whose sum is σ = 395539200000. Its totient is φ = 32306605056.

The previous prime is 115853002261. The next prime is 115853002283. The reversal of 115853002272 is 272200358511.

115853002272 is a `hidden beast` number, since 1 + 1 + 5 + 85 + 300 + 2 + 272 = 666.

It is an interprime number because it is at equal distance from previous prime (115853002261) and next prime (115853002283).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53166879 + ... + 53169057.

It is an arithmetic number, because the mean of its divisors is an integer number (1030050000).

Almost surely, 2^115853002272 is an apocalyptic number.

115853002272 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 115853002272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197769600000).

115853002272 is an abundant number, since it is smaller than the sum of its proper divisors (279686197728).

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

115853002272 is a wasteful number, since it uses less digits than its factorization.

115853002272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 115853002272 in words is "one hundred fifteen billion, eight hundred fifty-three million, two thousand, two hundred seventy-two".