22532235264000 has 3808 divisors, whose sum is σ = 107273539526400. Its totient is φ = 4682022912000.

The previous prime is 22532235263959. The next prime is 22532235264083. The reversal of 22532235264000 is 46253223522.

22532235264000 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 2 + 2 + 3 + 5 + 2 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2048385023995 + ... + 2048385024005.

Almost surely, 2^{22532235264000} is an apocalyptic number.

22532235264000 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 22532235264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53636769763200).

22532235264000 is an abundant number, since it is smaller than the sum of its proper divisors (84741304262400).

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

22532235264000 is an frugal number, since it uses more digits than its factorization.

22532235264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 22532235264000 its reverse (46253223522), we get a palindrome (22578488487522).

The spelling of 22532235264000 in words is "twenty-two trillion, five hundred thirty-two billion, two hundred thirty-five million, two hundred sixty-four thousand".