85622661120 has 224 divisors, whose sum is σ = 276728529600. Its totient is φ = 22603366400.

The previous prime is 85622661097. The next prime is 85622661151. The reversal of 85622661120 is 2116622658.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12407431 + ... + 12414329.

Almost surely, 2^85622661120 is an apocalyptic number.

85622661120 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 85622661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138364264800).

85622661120 is an abundant number, since it is smaller than the sum of its proper divisors (191105868480).

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

85622661120 is a wasteful number, since it uses less digits than its factorization.

85622661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7034 (or 7010 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 85622661120 in words is "eighty-five billion, six hundred twenty-two million, six hundred sixty-one thousand, one hundred twenty".