85683549600 has 864 divisors, whose sum is σ = 362077200576. Its totient is φ = 19541606400.

The previous prime is 85683549571. The next prime is 85683549649. The reversal of 85683549600 is 694538658.

It is a happy number.

85683549600 is a `hidden beast` number, since 8 + 568 + 35 + 49 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36351622 + ... + 36353978.

It is an arithmetic number, because the mean of its divisors is an integer number (419070834).

Almost surely, 2^85683549600 is an apocalyptic number.

85683549600 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 85683549600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181038600288).

85683549600 is an abundant number, since it is smaller than the sum of its proper divisors (276393650976).

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

85683549600 is a wasteful number, since it uses less digits than its factorization.

85683549600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 85683549600 in words is "eighty-five billion, six hundred eighty-three million, five hundred forty-nine thousand, six hundred".