868029785164800 has 1848 divisors, whose sum is σ = 3253248837176832. Its totient is φ = 229531594752000.

The previous prime is 868029785164757. The next prime is 868029785164823. The reversal of 868029785164800 is 8461587920868.

868029785164800 is a `hidden beast` number, since 8 + 6 + 8 + 0 + 2 + 97 + 8 + 51 + 6 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2013990220585 + ... + 2013990221015.

Almost surely, 2^{868029785164800} is an apocalyptic number.

868029785164800 is a gapful number since it is divisible by the number (80) 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 868029785164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626624418588416).

868029785164800 is an abundant number, since it is smaller than the sum of its proper divisors (2385219052012032).

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

868029785164800 is a wasteful number, since it uses less digits than its factorization.

868029785164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 868029785164800 in words is "eight hundred sixty-eight trillion, twenty-nine billion, seven hundred eighty-five million, one hundred sixty-four thousand, eight hundred".