85948922880 has 704 divisors, whose sum is σ = 329432716800. Its totient is φ = 21180579840.

The previous prime is 85948922867. The next prime is 85948922911. The reversal of 85948922880 is 8822984958.

85948922880 is a `hidden beast` number, since 8 + 59 + 489 + 2 + 28 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112941700 + ... + 112942460.

It is an arithmetic number, because the mean of its divisors is an integer number (467944200).

Almost surely, 2^85948922880 is an apocalyptic number.

85948922880 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 85948922880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164716358400).

85948922880 is an abundant number, since it is smaller than the sum of its proper divisors (243483793920).

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

85948922880 is a wasteful number, since it uses less digits than its factorization.

85948922880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 85948922880 in words is "eighty-five billion, nine hundred forty-eight million, nine hundred twenty-two thousand, eight hundred eighty".