22051528036704 has 288 divisors, whose sum is σ = 63645445543680. Its totient is φ = 7241608098816.

The previous prime is 22051528036691. The next prime is 22051528036709. The reversal of 22051528036704 is 40763082515022.

22051528036704 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 1 + 5 + 280 + 367 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 22051528036704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22051528036709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5486817607 + ... + 5486821625.

It is an arithmetic number, because the mean of its divisors is an integer number (220991130360).

Almost surely, 2^{22051528036704} is an apocalyptic number.

22051528036704 is a gapful number since it is divisible by the number (24) 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 22051528036704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31822722771840).

22051528036704 is an abundant number, since it is smaller than the sum of its proper divisors (41593917506976).

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

22051528036704 is a wasteful number, since it uses less digits than its factorization.

22051528036704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5082 (or 5071 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 22051528036704 in words is "twenty-two trillion, fifty-one billion, five hundred twenty-eight million, thirty-six thousand, seven hundred four".