115532400024320 has 144 divisors (see below), whose sum is σ = 278366279933952. Its totient is φ = 45941064069120.

The previous prime is 115532400024319. The next prime is 115532400024443. The reversal of 115532400024320 is 23420004235511.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377079509 + ... + 377385771.

It is an arithmetic number, because the mean of its divisors is an integer number (1933099166208).

Almost surely, 2^{115532400024320} is an apocalyptic number.

115532400024320 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 115532400024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139183139966976).

115532400024320 is an abundant number, since it is smaller than the sum of its proper divisors (162833879909632).

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

115532400024320 is a wasteful number, since it uses less digits than its factorization.

115532400024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308018 (or 308004 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 115532400024320 its reverse (23420004235511), we get a palindrome (138952404259831).

The spelling of 115532400024320 in words is "one hundred fifteen trillion, five hundred thirty-two billion, four hundred million, twenty-four thousand, three hundred twenty".