22793682432000 has 416 divisors, whose sum is σ = 76272767700480. Its totient is φ = 6044285337600.

The previous prime is 22793682431957. The next prime is 22793682432041. The reversal of 22793682432000 is 23428639722.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274902549 + ... + 274985451.

It is an arithmetic number, because the mean of its divisors is an integer number (183347999280).

Almost surely, 2^{22793682432000} is an apocalyptic number.

22793682432000 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 22793682432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38136383850240).

22793682432000 is an abundant number, since it is smaller than the sum of its proper divisors (53479085268480).

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

22793682432000 is an equidigital number, since it uses as much as digits as its factorization.

22793682432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83124 (or 83092 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 22793682432000 in words is "twenty-two trillion, seven hundred ninety-three billion, six hundred eighty-two million, four hundred thirty-two thousand".