115952801920 has 128 divisors (see below), whose sum is σ = 293754308400. Its totient is φ = 43689246720.

The previous prime is 115952801917. The next prime is 115952801957. The reversal of 115952801920 is 29108259511.

It can be written as a sum of positive squares in 8 ways, for example, as 23570846784 + 92381955136 = 153528^2 + 303944^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684772 + ... + 837148.

Almost surely, 2^115952801920 is an apocalyptic number.

115952801920 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 115952801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146877154200).

115952801920 is an abundant number, since it is smaller than the sum of its proper divisors (177801506480).

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

115952801920 is a wasteful number, since it uses less digits than its factorization.

115952801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152466 (or 152454 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 43.

The spelling of 115952801920 in words is "one hundred fifteen billion, nine hundred fifty-two million, eight hundred one thousand, nine hundred twenty".