22493766808800 has 1008 divisors, whose sum is σ = 94298004541440. Its totient is φ = 5130252702720.

The previous prime is 22493766808789. The next prime is 22493766808801. The reversal of 22493766808800 is 880866739422.

22493766808800 is a `hidden beast` number, since 2 + 2 + 493 + 7 + 6 + 68 + 0 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22493766808801) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1955463849 + ... + 1955475351.

It is an arithmetic number, because the mean of its divisors is an integer number (93549607680).

Almost surely, 2^{22493766808800} is an apocalyptic number.

22493766808800 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 22493766808800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47149002270720).

22493766808800 is an abundant number, since it is smaller than the sum of its proper divisors (71804237732640).

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

22493766808800 is a wasteful number, since it uses less digits than its factorization.

22493766808800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12027 (or 11999 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 22493766808800 in words is "twenty-two trillion, four hundred ninety-three billion, seven hundred sixty-six million, eight hundred eight thousand, eight hundred".