115950506434560 has 3136 divisors, whose sum is σ = 504983846154240. Its totient is φ = 24973336903680.

The previous prime is 115950506434531. The next prime is 115950506434579. The reversal of 115950506434560 is 65434605059511.

115950506434560 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 50 + 506 + 4 + 34 + 56 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 115950506434497 and 115950506434506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 427861647225 + ... + 427861647495.

Almost surely, 2^{115950506434560} is an apocalyptic number.

115950506434560 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 115950506434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252491923077120).

115950506434560 is an abundant number, since it is smaller than the sum of its proper divisors (389033339719680).

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

115950506434560 is an frugal number, since it uses more digits than its factorization.

115950506434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 54.

The spelling of 115950506434560 in words is "one hundred fifteen trillion, nine hundred fifty billion, five hundred six million, four hundred thirty-four thousand, five hundred sixty".