115199884800 has 2880 divisors, whose sum is σ = 589551266304. Its totient is φ = 21499084800.

The previous prime is 115199884783. The next prime is 115199884801. The reversal of 115199884800 is 8488991511.

115199884800 is a `hidden beast` number, since 1 + 1 + 519 + 9 + 88 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115199884801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3113510382 + ... + 3113510418.

Almost surely, 2^115199884800 is an apocalyptic number.

115199884800 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 115199884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294775633152).

115199884800 is an abundant number, since it is smaller than the sum of its proper divisors (474351381504).

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

115199884800 is a wasteful number, since it uses less digits than its factorization.

115199884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 54.

It can be divided in two parts, 115199 and 884800, that added together give a palindrome (999999).

The spelling of 115199884800 in words is "one hundred fifteen billion, one hundred ninety-nine million, eight hundred eighty-four thousand, eight hundred".