85373285760 has 768 divisors, whose sum is σ = 350725939200. Its totient is φ = 18725437440.

The previous prime is 85373285741. The next prime is 85373285821. The reversal of 85373285760 is 6758237358.

85373285760 is a `hidden beast` number, since 8 + 5 + 37 + 32 + 8 + 576 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85373285697 and 85373285706.

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, 208736436 + ... + 208736844.

It is an arithmetic number, because the mean of its divisors is an integer number (456674400).

Almost surely, 2^85373285760 is an apocalyptic number.

85373285760 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 85373285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175362969600).

85373285760 is an abundant number, since it is smaller than the sum of its proper divisors (265352653440).

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

85373285760 is a wasteful number, since it uses less digits than its factorization.

85373285760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 85373285760 in words is "eighty-five billion, three hundred seventy-three million, two hundred eighty-five thousand, seven hundred sixty".