85368563280 has 1920 divisors, whose sum is σ = 412749582336. Its totient is φ = 15825715200.

The previous prime is 85368563221. The next prime is 85368563347. The reversal of 85368563280 is 8236586358.

85368563280 is a `hidden beast` number, since 8 + 53 + 6 + 8 + 563 + 28 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 797836987 + ... + 797837093.

Almost surely, 2^85368563280 is an apocalyptic number.

85368563280 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 85368563280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206374791168).

85368563280 is an abundant number, since it is smaller than the sum of its proper divisors (327381019056).

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

85368563280 is a wasteful number, since it uses less digits than its factorization.

85368563280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 85368563280 in words is "eighty-five billion, three hundred sixty-eight million, five hundred sixty-three thousand, two hundred eighty".