115489724313600 has 2808 divisors, whose sum is σ = 528953723232480. Its totient is φ = 24354163261440.

The previous prime is 115489724313571. The next prime is 115489724313643. The reversal of 115489724313600 is 6313427984511.

115489724313600 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 8 + 9 + 7 + 24 + 3 + 1 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2808).

It is a super-2 number, since 2×115489724313600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 215 ways as a sum of consecutive naturals, for example, 61138021456 + ... + 61138023344.

It is an arithmetic number, because the mean of its divisors is an integer number (188373833060).

It is a 1-persistent number, because it is pandigital, but 2⋅115489724313600 = 230979448627200 is not.

Almost surely, 2^{115489724313600} is an apocalyptic number.

115489724313600 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 115489724313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264476861616240).

115489724313600 is an abundant number, since it is smaller than the sum of its proper divisors (413463998918880).

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

115489724313600 is an frugal number, since it uses more digits than its factorization.

115489724313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 115489724313600 in words is "one hundred fifteen trillion, four hundred eighty-nine billion, seven hundred twenty-four million, three hundred thirteen thousand, six hundred".