115781318400 has 1296 divisors, whose sum is σ = 459799598720. Its totient is φ = 25546752000.

The previous prime is 115781318353. The next prime is 115781318449. The reversal of 115781318400 is 4813187511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1898054370 + ... + 1898054430.

Almost surely, 2^115781318400 is an apocalyptic number.

115781318400 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 115781318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229899799360).

115781318400 is an abundant number, since it is smaller than the sum of its proper divisors (344018280320).

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

115781318400 is a wasteful number, since it uses less digits than its factorization.

115781318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 39.

The spelling of 115781318400 in words is "one hundred fifteen billion, seven hundred eighty-one million, three hundred eighteen thousand, four hundred".