85651084800 has 840 divisors, whose sum is σ = 325271107656. Its totient is φ = 22335160320.

The previous prime is 85651084793. The next prime is 85651084859. The reversal of 85651084800 is 848015658.

85651084800 is a `hidden beast` number, since 8 + 5 + 65 + 108 + 480 + 0 = 666.

It is a super-2 number, since 2×85651084800² (a number of 23 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 625190332 + ... + 625190468.

Almost surely, 2^85651084800 is an apocalyptic number.

85651084800 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 85651084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162635553828).

85651084800 is an abundant number, since it is smaller than the sum of its proper divisors (239620022856).

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

85651084800 is an equidigital number, since it uses as much as digits as its factorization.

85651084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 85651084800 in words is "eighty-five billion, six hundred fifty-one million, eighty-four thousand, eight hundred".