115959837600 has 576 divisors, whose sum is σ = 427652628480. Its totient is φ = 30320409600.

The previous prime is 115959837583. The next prime is 115959837601. The reversal of 115959837600 is 6738959511.

115959837600 is a `hidden beast` number, since 1 + 15 + 9 + 598 + 37 + 6 + 0 + 0 = 666.

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 (115959837601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 302767009 + ... + 302767391.

It is an arithmetic number, because the mean of its divisors is an integer number (742452480).

Almost surely, 2^115959837600 is an apocalyptic number.

115959837600 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 115959837600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213826314240).

115959837600 is an abundant number, since it is smaller than the sum of its proper divisors (311692790880).

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

115959837600 is a wasteful number, since it uses less digits than its factorization.

115959837600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 115959837600 in words is "one hundred fifteen billion, nine hundred fifty-nine million, eight hundred thirty-seven thousand, six hundred".