85625680428 has 144 divisors (see below), whose sum is σ = 223822478880. Its totient is φ = 27587868672.

The previous prime is 85625680417. The next prime is 85625680457. The reversal of 85625680428 is 82408652658.

It is a happy number.

85625680428 is a `hidden beast` number, since 8 + 5 + 625 + 6 + 8 + 0 + 4 + 2 + 8 = 666.

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 47 ways as a sum of consecutive naturals, for example, 40217668 + ... + 40219796.

It is an arithmetic number, because the mean of its divisors is an integer number (1554322770).

Almost surely, 2^85625680428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85625680428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111911239440).

85625680428 is an abundant number, since it is smaller than the sum of its proper divisors (138196798452).

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

85625680428 is a wasteful number, since it uses less digits than its factorization.

85625680428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 85625680428 in words is "eighty-five billion, six hundred twenty-five million, six hundred eighty thousand, four hundred twenty-eight".