85809715200 has 1512 divisors, whose sum is σ = 369077354100. Its totient is φ = 19707494400.

The previous prime is 85809715171. The next prime is 85809715207. The reversal of 85809715200 is 251790858.

It is a happy number.

85809715200 is a `hidden beast` number, since 8 + 58 + 0 + 9 + 71 + 520 + 0 = 666.

It is a super-2 number, since 2×85809715200² (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 not an unprimeable number, because it can be changed into a prime (85809715207) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 4516300791 + ... + 4516300809.

Almost surely, 2^85809715200 is an apocalyptic number.

85809715200 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 85809715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184538677050).

85809715200 is an abundant number, since it is smaller than the sum of its proper divisors (283267638900).

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

85809715200 is a wasteful number, since it uses less digits than its factorization.

85809715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 85809715200 in words is "eighty-five billion, eight hundred nine million, seven hundred fifteen thousand, two hundred".