85304709360 has 400 divisors, whose sum is σ = 337840626816. Its totient is φ = 19762569216.

The previous prime is 85304709331. The next prime is 85304709401. The reversal of 85304709360 is 6390740358.

85304709360 is a `hidden beast` number, since 8 + 5 + 30 + 470 + 93 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1402297 + ... + 1461863.

Almost surely, 2^85304709360 is an apocalyptic number.

85304709360 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 85304709360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168920313408).

85304709360 is an abundant number, since it is smaller than the sum of its proper divisors (252535917456).

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

85304709360 is a wasteful number, since it uses less digits than its factorization.

85304709360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59622 (or 59607 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 85304709360 in words is "eighty-five billion, three hundred four million, seven hundred nine thousand, three hundred sixty".