10984214272 has 72 divisors (see below), whose sum is σ = 22726827200. Its totient is φ = 5294149632.

The previous prime is 10984214239. The next prime is 10984214303. The reversal of 10984214272 is 27241248901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1027129 + ... + 1037767.

Almost surely, 2^10984214272 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 10984214272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11363413600).

10984214272 is an abundant number, since it is smaller than the sum of its proper divisors (11742612928).

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

10984214272 is a wasteful number, since it uses less digits than its factorization.

10984214272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10801 (or 10787 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 10984214272 in words is "ten billion, nine hundred eighty-four million, two hundred fourteen thousand, two hundred seventy-two".