115698844800 has 2880 divisors, whose sum is σ = 586207480320. Its totient is φ = 21897216000.

The previous prime is 115698844759. The next prime is 115698844801. The reversal of 115698844800 is 8448896511.

It is a happy number.

115698844800 is a `hidden beast` number, since 1 + 156 + 9 + 8 + 8 + 4 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (115698844801) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3732220785 + ... + 3732220815.

It is an arithmetic number, because the mean of its divisors is an integer number (203544264).

Almost surely, 2^115698844800 is an apocalyptic number.

115698844800 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 115698844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293103740160).

115698844800 is an abundant number, since it is smaller than the sum of its proper divisors (470508635520).

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

115698844800 is a wasteful number, since it uses less digits than its factorization.

115698844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 115698844800 in words is "one hundred fifteen billion, six hundred ninety-eight million, eight hundred forty-four thousand, eight hundred".