115930214400 has 1872 divisors, whose sum is σ = 535306095360. Its totient is φ = 21469593600.

The previous prime is 115930214377. The next prime is 115930214401. The reversal of 115930214400 is 4412039511.

It is a super-2 number, since 2×115930214400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (115930214401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3997593586 + ... + 3997593614.

Almost surely, 2^115930214400 is an apocalyptic number.

115930214400 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 115930214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267653047680).

115930214400 is an abundant number, since it is smaller than the sum of its proper divisors (419375880960).

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

115930214400 is a wasteful number, since it uses less digits than its factorization.

115930214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 115930214400 in words is "one hundred fifteen billion, nine hundred thirty million, two hundred fourteen thousand, four hundred".