115654279680 has 320 divisors, whose sum is σ = 412591449600. Its totient is φ = 30707712000.

The previous prime is 115654279679. The next prime is 115654279709. The reversal of 115654279680 is 86972456511.

It is a happy number.

115654279680 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 542 + 7 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16516180 + ... + 16523180.

It is an arithmetic number, because the mean of its divisors is an integer number (1289348280).

Almost surely, 2^115654279680 is an apocalyptic number.

115654279680 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 115654279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206295724800).

115654279680 is an abundant number, since it is smaller than the sum of its proper divisors (296937169920).

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

115654279680 is an equidigital number, since it uses as much as digits as its factorization.

115654279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7272 (or 7250 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 115654279680 in words is "one hundred fifteen billion, six hundred fifty-four million, two hundred seventy-nine thousand, six hundred eighty".