115220983680 has 1280 divisors, whose sum is σ = 475449384960. Its totient is φ = 26336378880.

The previous prime is 115220983673. The next prime is 115220983697. The reversal of 115220983680 is 86389022511.

115220983680 is a `hidden beast` number, since 1 + 1 + 522 + 0 + 98 + 36 + 8 + 0 = 666.

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

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 907251777 + ... + 907251903.

It is an arithmetic number, because the mean of its divisors is an integer number (371444832).

Almost surely, 2^115220983680 is an apocalyptic number.

115220983680 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 115220983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237724692480).

115220983680 is an abundant number, since it is smaller than the sum of its proper divisors (360228401280).

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

115220983680 is a wasteful number, since it uses less digits than its factorization.

115220983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 115220983680 in words is "one hundred fifteen billion, two hundred twenty million, nine hundred eighty-three thousand, six hundred eighty".