21255789282 has 384 divisors, whose sum is σ = 59504191488. Its totient is φ = 4993228800.

The previous prime is 21255789257. The next prime is 21255789293. The reversal of 21255789282 is 28298755212.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 122865748 + ... + 122865920.

It is an arithmetic number, because the mean of its divisors is an integer number (154958832).

Almost surely, 2^21255789282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21255789282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29752095744).

21255789282 is an abundant number, since it is smaller than the sum of its proper divisors (38248402206).

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

21255789282 is a wasteful number, since it uses less digits than its factorization.

21255789282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 307 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 51.

The spelling of 21255789282 in words is "twenty-one billion, two hundred fifty-five million, seven hundred eighty-nine thousand, two hundred eighty-two".