85622268240 has 200 divisors, whose sum is σ = 301568876928. Its totient is φ = 22510897920.

The previous prime is 85622268163. The next prime is 85622268253. The reversal of 85622268240 is 4286222658.

85622268240 is a `hidden beast` number, since 8 + 562 + 2 + 2 + 6 + 82 + 4 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 367029 + ... + 553131.

Almost surely, 2^85622268240 is an apocalyptic number.

85622268240 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 85622268240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150784438464).

85622268240 is an abundant number, since it is smaller than the sum of its proper divisors (215946608688).

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

85622268240 is a wasteful number, since it uses less digits than its factorization.

85622268240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186199 (or 186184 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 85622268240 in words is "eighty-five billion, six hundred twenty-two million, two hundred sixty-eight thousand, two hundred forty".