115319020896 has 144 divisors (see below), whose sum is σ = 351055531008. Its totient is φ = 37199606400.

The previous prime is 115319020877. The next prime is 115319020897. The reversal of 115319020896 is 698020913511.

115319020896 is a `hidden beast` number, since 1 + 1 + 531 + 9 + 0 + 20 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115319020897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1861 + ... + 480251.

It is an arithmetic number, because the mean of its divisors is an integer number (2437885632).

Almost surely, 2^115319020896 is an apocalyptic number.

115319020896 is a gapful number since it is divisible by the number (16) 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 115319020896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175527765504).

115319020896 is an abundant number, since it is smaller than the sum of its proper divisors (235736510112).

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

115319020896 is an equidigital number, since it uses as much as digits as its factorization.

115319020896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478447 (or 478427 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 115319020896 in words is "one hundred fifteen billion, three hundred nineteen million, twenty thousand, eight hundred ninety-six".