115900334161920 has 2880 divisors, whose sum is σ = 531103977169920. Its totient is φ = 23707385856000.

The previous prime is 115900334161897. The next prime is 115900334161991. The reversal of 115900334161920 is 29161433009511.

115900334161920 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 0 + 0 + 3 + 3 + 4 + 1 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 191 ways as a sum of consecutive naturals, for example, 79876177195 + ... + 79876178645.

It is an arithmetic number, because the mean of its divisors is an integer number (184411103184).

Almost surely, 2^{115900334161920} is an apocalyptic number.

115900334161920 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 115900334161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265551988584960).

115900334161920 is an abundant number, since it is smaller than the sum of its proper divisors (415203643008000).

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

115900334161920 is a wasteful number, since it uses less digits than its factorization.

115900334161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 115900334161920 in words is "one hundred fifteen trillion, nine hundred billion, three hundred thirty-four million, one hundred sixty-one thousand, nine hundred twenty".