21652726512416 has 192 divisors, whose sum is σ = 48003959646720. Its totient is φ = 9553357209600.

The previous prime is 21652726512379. The next prime is 21652726512419. The reversal of 21652726512416 is 61421562725612.

It is not an unprimeable number, because it can be changed into a prime (21652726512419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3834374105 + ... + 3834379751.

It is an arithmetic number, because the mean of its divisors is an integer number (250020623160).

Almost surely, 2^{21652726512416} 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 21652726512416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24001979823360).

21652726512416 is an abundant number, since it is smaller than the sum of its proper divisors (26351233134304).

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

21652726512416 is a wasteful number, since it uses less digits than its factorization.

21652726512416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9467 (or 9459 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 50.

The spelling of 21652726512416 in words is "twenty-one trillion, six hundred fifty-two billion, seven hundred twenty-six million, five hundred twelve thousand, four hundred sixteen".