85009991616 has 448 divisors, whose sum is σ = 285825346560. Its totient is φ = 24524881920.

The previous prime is 85009991611. The next prime is 85009991623. The reversal of 85009991616 is 61619990058.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85009991611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147330720 + ... + 147331296.

Almost surely, 2^85009991616 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 85009991616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142912673280).

85009991616 is an abundant number, since it is smaller than the sum of its proper divisors (200815354944).

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

85009991616 is a wasteful number, since it uses less digits than its factorization.

85009991616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 85009991616 in words is "eighty-five billion, nine million, nine hundred ninety-one thousand, six hundred sixteen".