115785462408000 has 2688 divisors, whose sum is σ = 499858319600640. Its totient is φ = 23088586752000.

The previous prime is 115785462407981. The next prime is 115785462408001. The reversal of 115785462408000 is 804264587511.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115785462408001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 116133863502 + ... + 116133864498.

It is an arithmetic number, because the mean of its divisors is an integer number (185959196280).

Almost surely, 2^{115785462408000} is an apocalyptic number.

115785462408000 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 115785462408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249929159800320).

115785462408000 is an abundant number, since it is smaller than the sum of its proper divisors (384072857192640).

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

115785462408000 is a wasteful number, since it uses less digits than its factorization.

115785462408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 115785462408000 in words is "one hundred fifteen trillion, seven hundred eighty-five billion, four hundred sixty-two million, four hundred eight thousand".