20611967616 has 256 divisors, whose sum is σ = 63733680000. Its totient is φ = 6631123968.

The previous prime is 20611967573. The next prime is 20611967653. The reversal of 20611967616 is 61676911602.

20611967616 is a `hidden beast` number, since 20 + 6 + 1 + 1 + 9 + 6 + 7 + 616 = 666.

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 31 ways as a sum of consecutive naturals, for example, 8116875 + ... + 8119413.

Almost surely, 2^20611967616 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 20611967616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31866840000).

20611967616 is an abundant number, since it is smaller than the sum of its proper divisors (43121712384).

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

20611967616 is an frugal number, since it uses more digits than its factorization.

20611967616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 20611967616 in words is "twenty billion, six hundred eleven million, nine hundred sixty-seven thousand, six hundred sixteen".