115806695004000 has 5760 divisors, whose sum is σ = 581122269471744. Its totient is φ = 22114819584000.

The previous prime is 115806695003977. The next prime is 115806695004001. The reversal of 115806695004000 is 400596608511.

115806695004000 is a `hidden beast` number, since 1 + 1 + 5 + 80 + 6 + 69 + 500 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×115806695004000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115806695004001) 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 959 ways as a sum of consecutive naturals, for example, 510161651887 + ... + 510161652113.

Almost surely, 2^{115806695004000} is an apocalyptic number.

115806695004000 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 115806695004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290561134735872).

115806695004000 is an abundant number, since it is smaller than the sum of its proper divisors (465315574467744).

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

115806695004000 is a wasteful number, since it uses less digits than its factorization.

115806695004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 115806695004000 in words is "one hundred fifteen trillion, eight hundred six billion, six hundred ninety-five million, four thousand".