115683120000 has 960 divisors, whose sum is σ = 496756299600. Its totient is φ = 26417664000.

The previous prime is 115683119969. The next prime is 115683120001. The reversal of 115683120000 is 21386511.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115683120001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 105839454 + ... + 105840546.

Almost surely, 2^115683120000 is an apocalyptic number.

115683120000 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 115683120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248378149800).

115683120000 is an abundant number, since it is smaller than the sum of its proper divisors (381073179600).

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

115683120000 is an equidigital number, since it uses as much as digits as its factorization.

115683120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 115683120000 in words is "one hundred fifteen billion, six hundred eighty-three million, one hundred twenty thousand".