115426258200 has 768 divisors, whose sum is σ = 461059776000. Its totient is φ = 26272512000.

The previous prime is 115426258177. The next prime is 115426258223. The reversal of 115426258200 is 2852624511.

115426258200 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 2 + 625 + 8 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (115426258177) and next prime (115426258223).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63735295 + ... + 63737105.

It is an arithmetic number, because the mean of its divisors is an integer number (600338250).

Almost surely, 2^115426258200 is an apocalyptic number.

115426258200 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 115426258200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230529888000).

115426258200 is an abundant number, since it is smaller than the sum of its proper divisors (345633517800).

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

115426258200 is a wasteful number, since it uses less digits than its factorization.

115426258200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 115426258200 in words is "one hundred fifteen billion, four hundred twenty-six million, two hundred fifty-eight thousand, two hundred".