85903352064 has 432 divisors, whose sum is σ = 271009872000. Its totient is φ = 26835038208.

The previous prime is 85903352009. The next prime is 85903352111. The reversal of 85903352064 is 46025330958.

85903352064 is a `hidden beast` number, since 8 + 5 + 90 + 33 + 520 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 431675037 + ... + 431675235.

Almost surely, 2^85903352064 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 85903352064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135504936000).

85903352064 is an abundant number, since it is smaller than the sum of its proper divisors (185106519936).

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

85903352064 is a wasteful number, since it uses less digits than its factorization.

85903352064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 85903352064 in words is "eighty-five billion, nine hundred three million, three hundred fifty-two thousand, sixty-four".