115516477440 has 1248 divisors, whose sum is σ = 504903200256. Its totient is φ = 23781703680.

The previous prime is 115516477421. The next prime is 115516477451. The reversal of 115516477440 is 44774615511.

115516477440 is a `hidden beast` number, since 1 + 155 + 16 + 47 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1190891472 + ... + 1190891568.

It is an arithmetic number, because the mean of its divisors is an integer number (404569872).

Almost surely, 2^115516477440 is an apocalyptic number.

115516477440 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 115516477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252451600128).

115516477440 is an abundant number, since it is smaller than the sum of its proper divisors (389386722816).

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

115516477440 is a wasteful number, since it uses less digits than its factorization.

115516477440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 115516477440 in words is "one hundred fifteen billion, five hundred sixteen million, four hundred seventy-seven thousand, four hundred forty".