115972421760 has 512 divisors, whose sum is σ = 443582496000. Its totient is φ = 28466380800.

The previous prime is 115972421731. The next prime is 115972421797. The reversal of 115972421760 is 67124279511.

115972421760 is a `hidden beast` number, since 1 + 1 + 597 + 2 + 42 + 17 + 6 + 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 63 ways as a sum of consecutive naturals, for example, 135008211 + ... + 135009069.

Almost surely, 2^115972421760 is an apocalyptic number.

115972421760 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 115972421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221791248000).

115972421760 is an abundant number, since it is smaller than the sum of its proper divisors (327610074240).

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

115972421760 is a wasteful number, since it uses less digits than its factorization.

115972421760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 115972421760 in words is "one hundred fifteen billion, nine hundred seventy-two million, four hundred twenty-one thousand, seven hundred sixty".