115609960800 has 576 divisors, whose sum is σ = 429632501760. Its totient is φ = 29989232640.

The previous prime is 115609960787. The next prime is 115609960811. The reversal of 115609960800 is 8069906511.

115609960800 is a `hidden beast` number, since 1 + 1 + 560 + 9 + 9 + 6 + 0 + 80 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 266997384 + ... + 266997816.

It is an arithmetic number, because the mean of its divisors is an integer number (745889760).

Almost surely, 2^115609960800 is an apocalyptic number.

115609960800 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 115609960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214816250880).

115609960800 is an abundant number, since it is smaller than the sum of its proper divisors (314022540960).

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

115609960800 is a wasteful number, since it uses less digits than its factorization.

115609960800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 115609960800 in words is "one hundred fifteen billion, six hundred nine million, nine hundred sixty thousand, eight hundred".