115432378560 has 448 divisors, whose sum is σ = 419555980800. Its totient is φ = 29859508224.

The previous prime is 115432378559. The next prime is 115432378561. The reversal of 115432378560 is 65873234511.

It is a happy number.

115432378560 is a `hidden beast` number, since 1 + 1 + 54 + 3 + 2 + 37 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (115432378559) and next prime (115432378561).

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

It is not an unprimeable number, because it can be changed into a prime (115432378561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58327651 + ... + 58329629.

Almost surely, 2^115432378560 is an apocalyptic number.

115432378560 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 115432378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209777990400).

115432378560 is an abundant number, since it is smaller than the sum of its proper divisors (304123602240).

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

115432378560 is a wasteful number, since it uses less digits than its factorization.

115432378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 115432378560 in words is "one hundred fifteen billion, four hundred thirty-two million, three hundred seventy-eight thousand, five hundred sixty".