115089465600 has 648 divisors, whose sum is σ = 436887683232. Its totient is φ = 29959372800.

The previous prime is 115089465599. The next prime is 115089465649. The reversal of 115089465600 is 6564980511.

115089465600 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 89 + 4 + 6 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66872740 + ... + 66874460.

Almost surely, 2^115089465600 is an apocalyptic number.

115089465600 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 115089465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218443841616).

115089465600 is an abundant number, since it is smaller than the sum of its proper divisors (321798217632).

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

115089465600 is an equidigital number, since it uses as much as digits as its factorization.

115089465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 115089465600 in words is "one hundred fifteen billion, eighty-nine million, four hundred sixty-five thousand, six hundred".