115402291200 has 1296 divisors, whose sum is σ = 507957723000. Its totient is φ = 24896471040.

The previous prime is 115402291187. The next prime is 115402291247. The reversal of 115402291200 is 2192204511.

115402291200 is a `hidden beast` number, since 11 + 540 + 2 + 2 + 91 + 20 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 429004666 + ... + 429004934.

Almost surely, 2^115402291200 is an apocalyptic number.

115402291200 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 115402291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253978861500).

115402291200 is an abundant number, since it is smaller than the sum of its proper divisors (392555431800).

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

115402291200 is a wasteful number, since it uses less digits than its factorization.

115402291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 115402291200 its reverse (2192204511), we get a palindrome (117594495711).

The spelling of 115402291200 in words is "one hundred fifteen billion, four hundred two million, two hundred ninety-one thousand, two hundred".