85746245760 has 512 divisors, whose sum is σ = 352788134400. Its totient is φ = 19276185600.

The previous prime is 85746245723. The next prime is 85746245801. The reversal of 85746245760 is 6754264758.

It is a happy number.

85746245760 is a `hidden beast` number, since 8 + 5 + 7 + 4 + 62 + 4 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 85746245697 and 85746245706.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7372750 + ... + 7384370.

It is an arithmetic number, because the mean of its divisors is an integer number (689039325).

Almost surely, 2^85746245760 is an apocalyptic number.

85746245760 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 85746245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176394067200).

85746245760 is an abundant number, since it is smaller than the sum of its proper divisors (267041888640).

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

85746245760 is a wasteful number, since it uses less digits than its factorization.

85746245760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11717 (or 11699 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 85746245760 in words is "eighty-five billion, seven hundred forty-six million, two hundred forty-five thousand, seven hundred sixty".