22065376350528 has 672 divisors, whose sum is σ = 76686704640000. Its totient is φ = 6056899752960.

The previous prime is 22065376350509. The next prime is 22065376350539. The reversal of 22065376350528 is 82505367356022.

22065376350528 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 5 + 3 + 7 + 63 + 50 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 851307553 + ... + 851333471.

It is an arithmetic number, because the mean of its divisors is an integer number (114117120000).

Almost surely, 2^{22065376350528} is an apocalyptic number.

22065376350528 is a gapful number since it is divisible by the number (28) 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 22065376350528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38343352320000).

22065376350528 is an abundant number, since it is smaller than the sum of its proper divisors (54621328289472).

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

22065376350528 is a wasteful number, since it uses less digits than its factorization.

22065376350528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26128 (or 26101 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 22065376350528 in words is "twenty-two trillion, sixty-five billion, three hundred seventy-six million, three hundred fifty thousand, five hundred twenty-eight".