115811942400 has 1728 divisors, whose sum is σ = 561699048960. Its totient is φ = 22649241600.

The previous prime is 115811942387. The next prime is 115811942401. The reversal of 115811942400 is 4249118511.

115811942400 is a `hidden beast` number, since 1 + 158 + 11 + 94 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 (115811942401) 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, 6812467192 + ... + 6812467208.

It is an arithmetic number, because the mean of its divisors is an integer number (325057320).

Almost surely, 2^115811942400 is an apocalyptic number.

115811942400 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 115811942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280849524480).

115811942400 is an abundant number, since it is smaller than the sum of its proper divisors (445887106560).

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

115811942400 is an equidigital number, since it uses as much as digits as its factorization.

115811942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 115811942400 in words is "one hundred fifteen billion, eight hundred eleven million, nine hundred forty-two thousand, four hundred".