115776984960 has 2048 divisors, whose sum is σ = 550764748800. Its totient is φ = 22295347200.

The previous prime is 115776984959. The next prime is 115776985001. The reversal of 115776984960 is 69489677511.

115776984960 is a `hidden beast` number, since 1 + 1 + 57 + 7 + 6 + 98 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1630661725 + ... + 1630661795.

It is an arithmetic number, because the mean of its divisors is an integer number (268928100).

Almost surely, 2^115776984960 is an apocalyptic number.

115776984960 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 115776984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275382374400).

115776984960 is an abundant number, since it is smaller than the sum of its proper divisors (434987763840).

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

115776984960 is a wasteful number, since it uses less digits than its factorization.

115776984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 115776984960 in words is "one hundred fifteen billion, seven hundred seventy-six million, nine hundred eighty-four thousand, nine hundred sixty".