115954660080 has 320 divisors, whose sum is σ = 476303800320. Its totient is φ = 25351501824.

The previous prime is 115954660079. The next prime is 115954660111. The reversal of 115954660080 is 80066459511.

115954660080 is a `hidden beast` number, since 11 + 595 + 46 + 6 + 0 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 181044 + ... + 514476.

It is an arithmetic number, because the mean of its divisors is an integer number (1488449376).

Almost surely, 2^115954660080 is an apocalyptic number.

115954660080 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 115954660080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238151900160).

115954660080 is an abundant number, since it is smaller than the sum of its proper divisors (360349140240).

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

115954660080 is a wasteful number, since it uses less digits than its factorization.

115954660080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333485 (or 333473 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 115954660080 in words is "one hundred fifteen billion, nine hundred fifty-four million, six hundred sixty thousand, eighty".