22768624800000 has 864 divisors, whose sum is σ = 84597022944000. Its totient is φ = 6039982080000.

The previous prime is 22768624799959. The next prime is 22768624800017. The reversal of 22768624800000 is 842686722.

22768624800000 is a `hidden beast` number, since 22 + 76 + 86 + 2 + 480 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4298397352 + ... + 4298402648.

It is an arithmetic number, because the mean of its divisors is an integer number (97913221000).

Almost surely, 2^{22768624800000} is an apocalyptic number.

22768624800000 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 22768624800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42298511472000).

22768624800000 is an abundant number, since it is smaller than the sum of its proper divisors (61828398144000).

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

22768624800000 is an frugal number, since it uses more digits than its factorization.

22768624800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5546 (or 5506 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 22768624800000 in words is "twenty-two trillion, seven hundred sixty-eight billion, six hundred twenty-four million, eight hundred thousand".