115938345600 has 1920 divisors, whose sum is σ = 551314177920. Its totient is φ = 23290675200.

The previous prime is 115938345583. The next prime is 115938345631. The reversal of 115938345600 is 6543839511.

115938345600 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 3 + 8 + 34 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 738460722 + ... + 738460878.

It is an arithmetic number, because the mean of its divisors is an integer number (287142801).

Almost surely, 2^115938345600 is an apocalyptic number.

115938345600 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 115938345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275657088960).

115938345600 is an abundant number, since it is smaller than the sum of its proper divisors (435375832320).

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

115938345600 is a wasteful number, since it uses less digits than its factorization.

115938345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 115938345600 in words is "one hundred fifteen billion, nine hundred thirty-eight million, three hundred forty-five thousand, six hundred".