216528961626 has 96 divisors (see below), whose sum is σ = 493958673936. Its totient is φ = 68459904000.

The previous prime is 216528961619. The next prime is 216528961633. The reversal of 216528961626 is 626169825612.

216528961626 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 2 + 8 + 9 + 6 + 1 + 626 = 666.

It is an interprime number because it is at equal distance from previous prime (216528961619) and next prime (216528961633).

It can be written as a sum of positive squares in 8 ways, for example, as 80401169601 + 136127792025 = 283551^2 + 368955^2 .

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, 50814336 + ... + 50818596.

Almost surely, 2^216528961626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216528961626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246979336968).

216528961626 is an abundant number, since it is smaller than the sum of its proper divisors (277429712310).

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

216528961626 is a wasteful number, since it uses less digits than its factorization.

216528961626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6208 (or 6205 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 216528961626 in words is "two hundred sixteen billion, five hundred twenty-eight million, nine hundred sixty-one thousand, six hundred twenty-six".