115249651200 has 960 divisors, whose sum is σ = 449360524800. Its totient is φ = 29232783360.

The previous prime is 115249651193. The next prime is 115249651201. The reversal of 115249651200 is 2156942511.

115249651200 is a `hidden beast` number, since 1 + 1 + 52 + 4 + 96 + 512 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×115249651200³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115249651201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 643852711 + ... + 643852889.

It is an arithmetic number, because the mean of its divisors is an integer number (468083880).

Almost surely, 2^115249651200 is an apocalyptic number.

115249651200 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 115249651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224680262400).

115249651200 is an abundant number, since it is smaller than the sum of its proper divisors (334110873600).

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

115249651200 is an frugal number, since it uses more digits than its factorization.

115249651200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 115249651200 in words is "one hundred fifteen billion, two hundred forty-nine million, six hundred fifty-one thousand, two hundred".