115323553600 has 168 divisors, whose sum is σ = 298551938328. Its totient is φ = 43787059200.

The previous prime is 115323553591. The next prime is 115323553603. The reversal of 115323553600 is 6355323511.

It can be written as a sum of positive squares in 12 ways, for example, as 51976704256 + 63346849344 = 227984^2 + 251688^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115323553603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2403444 + ... + 2450956.

It is an arithmetic number, because the mean of its divisors is an integer number (1777094871).

Almost surely, 2^115323553600 is an apocalyptic number.

115323553600 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 115323553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149275969164).

115323553600 is an abundant number, since it is smaller than the sum of its proper divisors (183228384728).

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

115323553600 is a wasteful number, since it uses less digits than its factorization.

115323553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47613 (or 47598 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 34.

The spelling of 115323553600 in words is "one hundred fifteen billion, three hundred twenty-three million, five hundred fifty-three thousand, six hundred".