115435222656600 has 2304 divisors, whose sum is σ = 476775624407040. Its totient is φ = 22570352640000.

The previous prime is 115435222656599. The next prime is 115435222656613. The reversal of 115435222656600 is 6656222534511.

It is a self number, because there is not a number n which added to its sum of digits gives 115435222656600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 327011962024 + ... + 327011962376.

It is an arithmetic number, because the mean of its divisors is an integer number (206933864760).

Almost surely, 2^{115435222656600} is an apocalyptic number.

115435222656600 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 115435222656600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238387812203520).

115435222656600 is an abundant number, since it is smaller than the sum of its proper divisors (361340401750440).

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

115435222656600 is a wasteful number, since it uses less digits than its factorization.

115435222656600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 115435222656600 in words is "one hundred fifteen trillion, four hundred thirty-five billion, two hundred twenty-two million, six hundred fifty-six thousand, six hundred".