115435217700000 has 864 divisors, whose sum is σ = 462051045840384. Its totient is φ = 27081504000000.

The previous prime is 115435217699983. The next prime is 115435217700007. The reversal of 115435217700000 is 7712534511.

115435217700000 is a `hidden beast` number, since 1 + 1 + 5 + 435 + 217 + 7 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×115435217700000³ (a number of 43 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (115435217700007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 306711934 + ... + 307088066.

It is an arithmetic number, because the mean of its divisors is an integer number (534781303056).

Almost surely, 2^{115435217700000} is an apocalyptic number.

115435217700000 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 115435217700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231025522920192).

115435217700000 is an abundant number, since it is smaller than the sum of its proper divisors (346615828140384).

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

115435217700000 is a wasteful number, since it uses less digits than its factorization.

115435217700000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376216 (or 376185 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 115435217700000 in words is "one hundred fifteen trillion, four hundred thirty-five billion, two hundred seventeen million, seven hundred thousand".