85818224640 has 208 divisors, whose sum is σ = 276003936000. Its totient is φ = 22766616576.

The previous prime is 85818224629. The next prime is 85818224651. The reversal of 85818224640 is 4642281858.

It is an interprime number because it is at equal distance from previous prime (85818224629) and next prime (85818224651).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 85818224640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12223051 + ... + 12230069.

It is an arithmetic number, because the mean of its divisors is an integer number (1326942000).

Almost surely, 2^85818224640 is an apocalyptic number.

85818224640 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 85818224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138001968000).

85818224640 is an abundant number, since it is smaller than the sum of its proper divisors (190185711360).

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

85818224640 is a wasteful number, since it uses less digits than its factorization.

85818224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7250 (or 7228 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 85818224640 in words is "eighty-five billion, eight hundred eighteen million, two hundred twenty-four thousand, six hundred forty".