22261662259200 has 2304 divisors, whose sum is σ = 101167324876800. Its totient is φ = 4672467763200.

The previous prime is 22261662259127. The next prime is 22261662259223. The reversal of 22261662259200 is 295226616222.

It is a happy number.

22261662259200 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 16 + 622 + 5 + 9 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 191 ways as a sum of consecutive naturals, for example, 34091366074 + ... + 34091366726.

It is an arithmetic number, because the mean of its divisors is an integer number (43909429200).

Almost surely, 2^{22261662259200} is an apocalyptic number.

22261662259200 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 22261662259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50583662438400).

22261662259200 is an abundant number, since it is smaller than the sum of its proper divisors (78905662617600).

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

22261662259200 is a wasteful number, since it uses less digits than its factorization.

22261662259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 954 counting only the distinct ones).

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

The spelling of 22261662259200 in words is "twenty-two trillion, two hundred sixty-one billion, six hundred sixty-two million, two hundred fifty-nine thousand, two hundred".