115415580672 has 360 divisors, whose sum is σ = 394334374896. Its totient is φ = 32954646528.

The previous prime is 115415580671. The next prime is 115415580727. The reversal of 115415580672 is 276085514511.

115415580672 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 1 + 5 + 580 + 67 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115415580671) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74317048 + ... + 74318600.

Almost surely, 2^115415580672 is an apocalyptic number.

115415580672 is a gapful number since it is divisible by the number (12) 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 115415580672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197167187448).

115415580672 is an abundant number, since it is smaller than the sum of its proper divisors (278918794224).

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

115415580672 is an frugal number, since it uses more digits than its factorization.

115415580672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 115415580672 in words is "one hundred fifteen billion, four hundred fifteen million, five hundred eighty thousand, six hundred seventy-two".