85605346800 has 480 divisors, whose sum is σ = 328224706560. Its totient is φ = 21129292800.

The previous prime is 85605346753. The next prime is 85605346837. The reversal of 85605346800 is 864350658.

85605346800 is a `hidden beast` number, since 8 + 5 + 605 + 34 + 6 + 8 + 0 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 7694842 + ... + 7705958.

It is an arithmetic number, because the mean of its divisors is an integer number (683801472).

Almost surely, 2^85605346800 is an apocalyptic number.

85605346800 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 85605346800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164112353280).

85605346800 is an abundant number, since it is smaller than the sum of its proper divisors (242619359760).

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

85605346800 is a wasteful number, since it uses less digits than its factorization.

85605346800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11198 (or 11181 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 85605346800 in words is "eighty-five billion, six hundred five million, three hundred forty-six thousand, eight hundred".