115779391200 has 864 divisors, whose sum is σ = 478060652160. Its totient is φ = 27085363200.

The previous prime is 115779391163. The next prime is 115779391237. The reversal of 115779391200 is 2193977511.

It is a happy number.

115779391200 is a `hidden beast` number, since 1 + 1 + 57 + 7 + 9 + 391 + 200 = 666.

115779391200 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (115779391163) and next prime (115779391237).

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62012667 + ... + 62014533.

It is an arithmetic number, because the mean of its divisors is an integer number (553310940).

Almost surely, 2^115779391200 is an apocalyptic number.

115779391200 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 115779391200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239030326080).

115779391200 is an abundant number, since it is smaller than the sum of its proper divisors (362281260960).

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

115779391200 is a wasteful number, since it uses less digits than its factorization.

115779391200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The spelling of 115779391200 in words is "one hundred fifteen billion, seven hundred seventy-nine million, three hundred ninety-one thousand, two hundred".