85808581200 has 600 divisors, whose sum is σ = 333750656448. Its totient is φ = 21029621760.

The previous prime is 85808581189. The next prime is 85808581259. The reversal of 85808581200 is 218580858.

85808581200 is a `hidden beast` number, since 8 + 580 + 8 + 58 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×85808581200² (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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23682589 + ... + 23686211.

Almost surely, 2^85808581200 is an apocalyptic number.

85808581200 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 85808581200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166875328224).

85808581200 is an abundant number, since it is smaller than the sum of its proper divisors (247942075248).

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

85808581200 is a wasteful number, since it uses less digits than its factorization.

85808581200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3713 (or 3693 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 45.

The spelling of 85808581200 in words is "eighty-five billion, eight hundred eight million, five hundred eighty-one thousand, two hundred".