21422700288 has 576 divisors, whose sum is σ = 72995328000. Its totient is φ = 6137856000.

The previous prime is 21422700281. The next prime is 21422700289. The reversal of 21422700288 is 88200722412.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21422700281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143776438 + ... + 143776586.

It is an arithmetic number, because the mean of its divisors is an integer number (126728000).

Almost surely, 2^21422700288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21422700288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36497664000).

21422700288 is an abundant number, since it is smaller than the sum of its proper divisors (51572627712).

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

21422700288 is a wasteful number, since it uses less digits than its factorization.

21422700288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 21422700288 in words is "twenty-one billion, four hundred twenty-two million, seven hundred thousand, two hundred eighty-eight".