115543584000 has 1152 divisors, whose sum is σ = 468551516160. Its totient is φ = 28217548800.

The previous prime is 115543583989. The next prime is 115543584043. The reversal of 115543584000 is 485345511.

115543584000 is a `hidden beast` number, since 11 + 554 + 3 + 58 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 909791937 + ... + 909792063.

Almost surely, 2^115543584000 is an apocalyptic number.

115543584000 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 115543584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234275758080).

115543584000 is an abundant number, since it is smaller than the sum of its proper divisors (353007932160).

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

115543584000 is an frugal number, since it uses more digits than its factorization.

115543584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 115543584000 in words is "one hundred fifteen billion, five hundred forty-three million, five hundred eighty-four thousand".