22209876416000 has 1920 divisors, whose sum is σ = 74546312480640. Its totient is φ = 6521389056000.

The previous prime is 22209876415997. The next prime is 22209876416017. The reversal of 22209876416000 is 61467890222.

It is a super-2 number, since 2×22209876416000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41053375730 + ... + 41053376270.

It is an arithmetic number, because the mean of its divisors is an integer number (38826204417).

Almost surely, 2^{22209876416000} is an apocalyptic number.

22209876416000 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 22209876416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37273156240320).

22209876416000 is an abundant number, since it is smaller than the sum of its proper divisors (52336436064640).

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

22209876416000 is a wasteful number, since it uses less digits than its factorization.

22209876416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The spelling of 22209876416000 in words is "twenty-two trillion, two hundred nine billion, eight hundred seventy-six million, four hundred sixteen thousand".