115205534400 has 336 divisors, whose sum is σ = 413707771008. Its totient is φ = 27835392000.

The previous prime is 115205534393. The next prime is 115205534407. The reversal of 115205534400 is 4435502511.

It is an interprime number because it is at equal distance from previous prime (115205534393) and next prime (115205534407).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (115205534407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16522915 + ... + 16529885.

It is an arithmetic number, because the mean of its divisors is an integer number (1231273128).

Almost surely, 2^115205534400 is an apocalyptic number.

115205534400 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 115205534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206853885504).

115205534400 is an abundant number, since it is smaller than the sum of its proper divisors (298502236608).

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

115205534400 is a wasteful number, since it uses less digits than its factorization.

115205534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7320 (or 7305 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 115205534400 in words is "one hundred fifteen billion, two hundred five million, five hundred thirty-four thousand, four hundred".