22016412559680 has 672 divisors, whose sum is σ = 88826898198528. Its totient is φ = 4488478924800.

The previous prime is 22016412559639. The next prime is 22016412559723. The reversal of 22016412559680 is 8695521461022.

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, 207588265 + ... + 207694295.

It is an arithmetic number, because the mean of its divisors is an integer number (132182884224).

Almost surely, 2^{22016412559680} is an apocalyptic number.

22016412559680 is a gapful number since it is divisible by the number (20) 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 22016412559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44413449099264).

22016412559680 is an abundant number, since it is smaller than the sum of its proper divisors (66810485638848).

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

22016412559680 is a wasteful number, since it uses less digits than its factorization.

22016412559680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106175 (or 106112 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 22016412559680 in words is "twenty-two trillion, sixteen billion, four hundred twelve million, five hundred fifty-nine thousand, six hundred eighty".