115516601200 has 480 divisors, whose sum is σ = 376377910272. Its totient is φ = 32901120000.

The previous prime is 115516601159. The next prime is 115516601209. The reversal of 115516601200 is 2106615511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115516601209) 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, 41239800 + ... + 41242600.

Almost surely, 2^115516601200 is an apocalyptic number.

115516601200 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 115516601200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188188955136).

115516601200 is an abundant number, since it is smaller than the sum of its proper divisors (260861309072).

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

115516601200 is a wasteful number, since it uses less digits than its factorization.

115516601200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The spelling of 115516601200 in words is "one hundred fifteen billion, five hundred sixteen million, six hundred one thousand, two hundred".