85583741760 has 672 divisors, whose sum is σ = 331770801024. Its totient is φ = 20072448000.

The previous prime is 85583741707. The next prime is 85583741779. The reversal of 85583741760 is 6714738558.

It is a happy number.

85583741760 is a `hidden beast` number, since 8 + 558 + 3 + 74 + 17 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85583741697 and 85583741706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129475830 + ... + 129476490.

Almost surely, 2^85583741760 is an apocalyptic number.

85583741760 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 85583741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165885400512).

85583741760 is an abundant number, since it is smaller than the sum of its proper divisors (246187059264).

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

85583741760 is a wasteful number, since it uses less digits than its factorization.

85583741760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 85583741760 in words is "eighty-five billion, five hundred eighty-three million, seven hundred forty-one thousand, seven hundred sixty".