21823250688000 has 1920 divisors, whose sum is σ = 84193368779520. Its totient is φ = 5643509760000.

The previous prime is 21823250687993. The next prime is 21823250688013. The reversal of 21823250688000 is 88605232812.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 307369727965 + ... + 307369728035.

It is an arithmetic number, because the mean of its divisors is an integer number (43850712906).

Almost surely, 2^{21823250688000} is an apocalyptic number.

21823250688000 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 21823250688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42096684389760).

21823250688000 is an abundant number, since it is smaller than the sum of its proper divisors (62370118091520).

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

21823250688000 is an frugal number, since it uses more digits than its factorization.

21823250688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 21823250688000 in words is "twenty-one trillion, eight hundred twenty-three billion, two hundred fifty million, six hundred eighty-eight thousand".