10921967616 has 200 divisors, whose sum is σ = 34359737344. Its totient is φ = 3019898880.

The previous prime is 10921967603. The next prime is 10921967767. The reversal of 10921967616 is 61676912901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 352321521 + ... + 352321551.

Almost surely, 2^10921967616 is an apocalyptic number.

10921967616 is a gapful number since it is divisible by the number (16) 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 10921967616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17179868672).

10921967616 is an abundant number, since it is smaller than the sum of its proper divisors (23437769728).

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

10921967616 is an frugal number, since it uses more digits than its factorization.

10921967616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The spelling of 10921967616 in words is "ten billion, nine hundred twenty-one million, nine hundred sixty-seven thousand, six hundred sixteen".