115084648800 has 576 divisors, whose sum is σ = 457928190720. Its totient is φ = 27892339200.

The previous prime is 115084648787. The next prime is 115084648849. The reversal of 115084648800 is 8846480511.

115084648800 is a `hidden beast` number, since 1 + 1 + 508 + 4 + 64 + 8 + 80 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28747599 + ... + 28751601.

It is an arithmetic number, because the mean of its divisors is an integer number (795014220).

Almost surely, 2^115084648800 is an apocalyptic number.

115084648800 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 115084648800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228964095360).

115084648800 is an abundant number, since it is smaller than the sum of its proper divisors (342843541920).

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

115084648800 is a wasteful number, since it uses less digits than its factorization.

115084648800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4065 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 115084648800 in words is "one hundred fifteen billion, eighty-four million, six hundred forty-eight thousand, eight hundred".