115725679020 has 384 divisors, whose sum is σ = 425703505920. Its totient is φ = 25540427520.

The previous prime is 115725679001. The next prime is 115725679021. The reversal of 115725679020 is 20976527511.

115725679020 is a `hidden beast` number, since 1 + 1 + 572 + 5 + 6 + 79 + 0 + 2 + 0 = 666.

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 (115725679021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71127447 + ... + 71129073.

It is an arithmetic number, because the mean of its divisors is an integer number (1108602880).

Almost surely, 2^115725679020 is an apocalyptic number.

115725679020 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 115725679020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212851752960).

115725679020 is an abundant number, since it is smaller than the sum of its proper divisors (309977826900).

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

115725679020 is a wasteful number, since it uses less digits than its factorization.

115725679020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 115725679020 in words is "one hundred fifteen billion, seven hundred twenty-five million, six hundred seventy-nine thousand, twenty".