22142626338560 has 1152 divisors, whose sum is σ = 74246844672000. Its totient is φ = 6247899463680.

The previous prime is 22142626338523. The next prime is 22142626338587. The reversal of 22142626338560 is 6583362624122.

It is a junction number, because it is equal to n+sod(n) for n = 22142626338499 and 22142626338508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1843522955 + ... + 1843534965.

It is an arithmetic number, because the mean of its divisors is an integer number (64450386000).

Almost surely, 2^{22142626338560} is an apocalyptic number.

22142626338560 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 22142626338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37123422336000).

22142626338560 is an abundant number, since it is smaller than the sum of its proper divisors (52104218333440).

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

22142626338560 is a wasteful number, since it uses less digits than its factorization.

22142626338560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12102 (or 12074 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 50.

The spelling of 22142626338560 in words is "twenty-two trillion, one hundred forty-two billion, six hundred twenty-six million, three hundred thirty-eight thousand, five hundred sixty".