85605679800 has 576 divisors, whose sum is σ = 302230656000. Its totient is φ = 21700224000.

The previous prime is 85605679763. The next prime is 85605679807. The reversal of 85605679800 is 897650658.

85605679800 is a `hidden beast` number, since 8 + 560 + 5 + 6 + 79 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85605679807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 615868131 + ... + 615868269.

It is an arithmetic number, because the mean of its divisors is an integer number (524706000).

Almost surely, 2^85605679800 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 85605679800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151115328000).

85605679800 is an abundant number, since it is smaller than the sum of its proper divisors (216624976200).

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

85605679800 is a wasteful number, since it uses less digits than its factorization.

85605679800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 85605679800 in words is "eighty-five billion, six hundred five million, six hundred seventy-nine thousand, eight hundred".