115668408240 has 1920 divisors, whose sum is σ = 545965056000. Its totient is φ = 22495656960.

The previous prime is 115668408223. The next prime is 115668408253. The reversal of 115668408240 is 42804866511.

It is a happy number.

115668408240 is a `hidden beast` number, since 1 + 1 + 566 + 8 + 4 + 0 + 82 + 4 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 1393595239 + ... + 1393595321.

It is an arithmetic number, because the mean of its divisors is an integer number (284356800).

Almost surely, 2^115668408240 is an apocalyptic number.

115668408240 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 115668408240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272982528000).

115668408240 is an abundant number, since it is smaller than the sum of its proper divisors (430296647760).

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

115668408240 is a wasteful number, since it uses less digits than its factorization.

115668408240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 115668408240 in words is "one hundred fifteen billion, six hundred sixty-eight million, four hundred eight thousand, two hundred forty".