85510010880 has 1536 divisors, whose sum is σ = 387207475200. Its totient is φ = 17439916032.

The previous prime is 85510010783. The next prime is 85510010909. The reversal of 85510010880 is 8801001558.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 756725704 + ... + 756725816.

It is an arithmetic number, because the mean of its divisors is an integer number (252088200).

Almost surely, 2^85510010880 is an apocalyptic number.

85510010880 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 85510010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193603737600).

85510010880 is an abundant number, since it is smaller than the sum of its proper divisors (301697464320).

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

85510010880 is a wasteful number, since it uses less digits than its factorization.

85510010880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

The spelling of 85510010880 in words is "eighty-five billion, five hundred ten million, ten thousand, eight hundred eighty".