85904009399808 has 240 divisors, whose sum is σ = 252671523451776. Its totient is φ = 28091631144960.

The previous prime is 85904009399773. The next prime is 85904009399827. The reversal of 85904009399808 is 80899390040958.

It is a happy number.

85904009399808 is a `hidden beast` number, since 8 + 59 + 0 + 400 + 9 + 3 + 99 + 80 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49939003 + ... + 51630533.

Almost surely, 2^{85904009399808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85904009399808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126335761725888).

85904009399808 is an abundant number, since it is smaller than the sum of its proper divisors (166767514051968).

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

85904009399808 is a wasteful number, since it uses less digits than its factorization.

85904009399808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691765 (or 1691746 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 72.

The spelling of 85904009399808 in words is "eighty-five trillion, nine hundred four billion, nine million, three hundred ninety-nine thousand, eight hundred eight".