22009256236800 has 3240 divisors, whose sum is σ = 100323761430816. Its totient is φ = 4661240463360.

The previous prime is 22009256236789. The next prime is 22009256236813. The reversal of 22009256236800 is 863265290022.

22009256236800 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 9 + 2 + 562 + 3 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 69429830242 + ... + 69429830558.

Almost surely, 2^{22009256236800} is an apocalyptic number.

22009256236800 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 22009256236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50161880715408).

22009256236800 is an abundant number, since it is smaller than the sum of its proper divisors (78314505194016).

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

22009256236800 is a wasteful number, since it uses less digits than its factorization.

22009256236800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 22009256236800 in words is "twenty-two trillion, nine billion, two hundred fifty-six million, two hundred thirty-six thousand, eight hundred".