85193587920 has 480 divisors, whose sum is σ = 317599172352. Its totient is φ = 18503958528.

The previous prime is 85193587907. The next prime is 85193587951. The reversal of 85193587920 is 2978539158.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 228400854 + ... + 228401226.

Almost surely, 2^85193587920 is an apocalyptic number.

85193587920 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 85193587920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158799586176).

85193587920 is an abundant number, since it is smaller than the sum of its proper divisors (232405584432).

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

85193587920 is a wasteful number, since it uses less digits than its factorization.

85193587920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 57.

The spelling of 85193587920 in words is "eighty-five billion, one hundred ninety-three million, five hundred eighty-seven thousand, nine hundred twenty".