85591780800 has 168 divisors, whose sum is σ = 280954587696. Its totient is φ = 22812917760.

The previous prime is 85591780787. The next prime is 85591780817. The reversal of 85591780800 is 808719558.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13998544 + ... + 14004656.

Almost surely, 2^85591780800 is an apocalyptic number.

85591780800 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 85591780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140477293848).

85591780800 is an abundant number, since it is smaller than the sum of its proper divisors (195362806896).

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

85591780800 is a wasteful number, since it uses less digits than its factorization.

85591780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9055 (or 9040 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 51.

The spelling of 85591780800 in words is "eighty-five billion, five hundred ninety-one million, seven hundred eighty thousand, eight hundred".