85828600800 has 108 divisors (see below), whose sum is σ = 302653128960. Its totient is φ = 22887624960.

The previous prime is 85828600751. The next prime is 85828600807. The reversal of 85828600800 is 800682858.

85828600800 is a `hidden beast` number, since 8 + 582 + 8 + 60 + 0 + 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 not an unprimeable number, because it can be changed into a prime (85828600807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5953120 + ... + 5967519.

Almost surely, 2^85828600800 is an apocalyptic number.

85828600800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85828600800 is an abundant number, since it is smaller than the sum of its proper divisors (216824528160).

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

85828600800 is a wasteful number, since it uses less digits than its factorization.

85828600800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11920665 (or 11920649 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 85828600800 in words is "eighty-five billion, eight hundred twenty-eight million, six hundred thousand, eight hundred".