4256580216 has 192 divisors, whose sum is σ = 12725683200. Its totient is φ = 1182601728.

The previous prime is 4256580199. The next prime is 4256580221. The reversal of 4256580216 is 6120856524.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7012185 + ... + 7012791.

It is an arithmetic number, because the mean of its divisors is an integer number (66279600).

Almost surely, 2^4256580216 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 4256580216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6362841600).

4256580216 is an abundant number, since it is smaller than the sum of its proper divisors (8469102984).

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

4256580216 is a wasteful number, since it uses less digits than its factorization.

4256580216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 4256580216 is about 65242.4724853373. The cubic root of 4256580216 is about 1620.6414438967.

The spelling of 4256580216 in words is "four billion, two hundred fifty-six million, five hundred eighty thousand, two hundred sixteen".