115272867225600 has 2352 divisors, whose sum is σ = 500038754251200. Its totient is φ = 26336378880000.

The previous prime is 115272867225563. The next prime is 115272867225601. The reversal of 115272867225600 is 6522768272511.

It is a happy number.

115272867225600 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 7 + 2 + 8 + 6 + 7 + 2 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (115272867225601) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 51209624475 + ... + 51209626725.

Almost surely, 2^{115272867225600} is an apocalyptic number.

115272867225600 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 115272867225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250019377125600).

115272867225600 is an abundant number, since it is smaller than the sum of its proper divisors (384765887025600).

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

115272867225600 is an frugal number, since it uses more digits than its factorization.

115272867225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 115272867225600 in words is "one hundred fifteen trillion, two hundred seventy-two billion, eight hundred sixty-seven million, two hundred twenty-five thousand, six hundred".