85262284800 has 1728 divisors, whose sum is σ = 399236947200. Its totient is φ = 17517772800.

The previous prime is 85262284799. The next prime is 85262284813. The reversal of 85262284800 is 848226258.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×85262284800² (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 143 ways as a sum of consecutive naturals, for example, 958003156 + ... + 958003244.

It is an arithmetic number, because the mean of its divisors is an integer number (231039900).

Almost surely, 2^85262284800 is an apocalyptic number.

85262284800 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 85262284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199618473600).

85262284800 is an abundant number, since it is smaller than the sum of its proper divisors (313974662400).

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

85262284800 is a wasteful number, since it uses less digits than its factorization.

85262284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 85262284800 in words is "eighty-five billion, two hundred sixty-two million, two hundred eighty-four thousand, eight hundred".