85809254496 has 192 divisors, whose sum is σ = 273176064000. Its totient is φ = 23053257216.

The previous prime is 85809254491. The next prime is 85809254501. The reversal of 85809254496 is 69445290858.

It is an interprime number because it is at equal distance from previous prime (85809254491) and next prime (85809254501).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85809254491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 864855 + ... + 958953.

It is an arithmetic number, because the mean of its divisors is an integer number (1422792000).

Almost surely, 2^85809254496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85809254496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136588032000).

85809254496 is an abundant number, since it is smaller than the sum of its proper divisors (187366809504).

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

85809254496 is a wasteful number, since it uses less digits than its factorization.

85809254496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94201 (or 94193 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 60.

The spelling of 85809254496 in words is "eighty-five billion, eight hundred nine million, two hundred fifty-four thousand, four hundred ninety-six".