85081993920 has 1792 divisors, whose sum is σ = 404501299200. Its totient is φ = 16303472640.

The previous prime is 85081993897. The next prime is 85081993933. The reversal of 85081993920 is 2939918058.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 669936897 + ... + 669937023.

Almost surely, 2^85081993920 is an apocalyptic number.

85081993920 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 85081993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202250649600).

85081993920 is an abundant number, since it is smaller than the sum of its proper divisors (319419305280).

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

85081993920 is a wasteful number, since it uses less digits than its factorization.

85081993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 85081993920 in words is "eighty-five billion, eighty-one million, nine hundred ninety-three thousand, nine hundred twenty".