115842908160 has 1280 divisors, whose sum is σ = 502428009600. Its totient is φ = 24970788864.

The previous prime is 115842908113. The next prime is 115842908171. The reversal of 115842908160 is 61809248511.

It is a happy number.

115842908160 is a `hidden beast` number, since 1 + 1 + 584 + 2 + 9 + 0 + 8 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

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 79 ways as a sum of consecutive naturals, for example, 2694021099 + ... + 2694021141.

Almost surely, 2^115842908160 is an apocalyptic number.

115842908160 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 115842908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251214004800).

115842908160 is an abundant number, since it is smaller than the sum of its proper divisors (386585101440).

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

115842908160 is an frugal number, since it uses more digits than its factorization.

115842908160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 115842908160 in words is "one hundred fifteen billion, eight hundred forty-two million, nine hundred eight thousand, one hundred sixty".