10721890944 has 192 divisors, whose sum is σ = 32526355680. Its totient is φ = 3514752000.

The previous prime is 10721890913. The next prime is 10721890957. The reversal of 10721890944 is 44909812701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10721890944² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10721890944.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1894519 + ... + 1900169.

Almost surely, 2^10721890944 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 10721890944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16263177840).

10721890944 is an abundant number, since it is smaller than the sum of its proper divisors (21804464736).

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

10721890944 is an frugal number, since it uses more digits than its factorization.

10721890944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5741 (or 5717 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10721890944 in words is "ten billion, seven hundred twenty-one million, eight hundred ninety thousand, nine hundred forty-four".