85990893520896 has 2304 divisors, whose sum is σ = 322995568896000. Its totient is φ = 21888283705344.

The previous prime is 85990893520877. The next prime is 85990893520913. The reversal of 85990893520896 is 69802539809958.

85990893520896 is a `hidden beast` number, since 8 + 5 + 9 + 9 + 0 + 8 + 9 + 3 + 520 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 436501997470 + ... + 436501997666.

It is an arithmetic number, because the mean of its divisors is an integer number (140189049000).

Almost surely, 2^{85990893520896} 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 85990893520896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161497784448000).

85990893520896 is an abundant number, since it is smaller than the sum of its proper divisors (237004675375104).

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

85990893520896 is a wasteful number, since it uses less digits than its factorization.

85990893520896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 3023308800, while the sum is 81.

The spelling of 85990893520896 in words is "eighty-five trillion, nine hundred ninety billion, eight hundred ninety-three million, five hundred twenty thousand, eight hundred ninety-six".