115505502501200 has 480 divisors, whose sum is σ = 337187185067520. Its totient is φ = 37118759731200.

The previous prime is 115505502501199. The next prime is 115505502501281. The reversal of 115505502501200 is 2105205505511.

It is a super-2 number, since 2×115505502501200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14029572284 + ... + 14029580516.

It is an arithmetic number, because the mean of its divisors is an integer number (702473302224).

Almost surely, 2^{115505502501200} is an apocalyptic number.

115505502501200 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 115505502501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168593592533760).

115505502501200 is an abundant number, since it is smaller than the sum of its proper divisors (221681682566320).

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

115505502501200 is a wasteful number, since it uses less digits than its factorization.

115505502501200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9455 (or 9444 counting only the distinct ones).

The product of its (nonzero) digits is 12500, while the sum is 32.

The spelling of 115505502501200 in words is "one hundred fifteen trillion, five hundred five billion, five hundred two million, five hundred one thousand, two hundred".