115314557523200 has 324 divisors, whose sum is σ = 333219866868252. Its totient is φ = 39393659289600.

The previous prime is 115314557523163. The next prime is 115314557523257. The reversal of 115314557523200 is 2325755413511.

It can be written as a sum of positive squares in 6 ways, for example, as 519275889664 + 114795281633536 = 720608^2 + 10714256^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86203460 + ... + 87530940.

It is an arithmetic number, because the mean of its divisors is an integer number (1028456379223).

Almost surely, 2^{115314557523200} is an apocalyptic number.

115314557523200 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 115314557523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166609933434126).

115314557523200 is an abundant number, since it is smaller than the sum of its proper divisors (217905309345052).

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

115314557523200 is a wasteful number, since it uses less digits than its factorization.

115314557523200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327798 (or 1327772 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 44.

The spelling of 115314557523200 in words is "one hundred fifteen trillion, three hundred fourteen billion, five hundred fifty-seven million, five hundred twenty-three thousand, two hundred".