115987576320 has 2560 divisors, whose sum is σ = 573220454400. Its totient is φ = 21499084800.

The previous prime is 115987576307. The next prime is 115987576343. The reversal of 115987576320 is 23675789511.

115987576320 is a `hidden beast` number, since 11 + 59 + 8 + 7 + 576 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3134799342 + ... + 3134799378.

It is an arithmetic number, because the mean of its divisors is an integer number (223914240).

Almost surely, 2^115987576320 is an apocalyptic number.

115987576320 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 115987576320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286610227200).

115987576320 is an abundant number, since it is smaller than the sum of its proper divisors (457232878080).

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

115987576320 is a wasteful number, since it uses less digits than its factorization.

115987576320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 115987576320 in words is "one hundred fifteen billion, nine hundred eighty-seven million, five hundred seventy-six thousand, three hundred twenty".