21823945743600 has 3840 divisors, whose sum is σ = 108970425446400. Its totient is φ = 4002545664000.

The previous prime is 21823945743553. The next prime is 21823945743679. The reversal of 21823945743600 is 634754932812.

21823945743600 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 3 + 9 + 4 + 574 + 3 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 23491867936 + ... + 23491868864.

It is an arithmetic number, because the mean of its divisors is an integer number (28377714960).

It is a 1-persistent number, because it is pandigital, but 2⋅21823945743600 = 43647891487200 is not.

Almost surely, 2^{21823945743600} is an apocalyptic number.

21823945743600 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 21823945743600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54485212723200).

21823945743600 is an abundant number, since it is smaller than the sum of its proper divisors (87146479702800).

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

21823945743600 is a wasteful number, since it uses less digits than its factorization.

21823945743600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 21823945743600 in words is "twenty-one trillion, eight hundred twenty-three billion, nine hundred forty-five million, seven hundred forty-three thousand, six hundred".