21673628256 has 144 divisors (see below), whose sum is σ = 66527670384. Its totient is φ = 6160121856.

The previous prime is 21673628227. The next prime is 21673628261. The reversal of 21673628256 is 65282637612.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 895936 + ... + 919808.

It is an arithmetic number, because the mean of its divisors is an integer number (461997711).

Almost surely, 2^21673628256 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 21673628256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33263835192).

21673628256 is an abundant number, since it is smaller than the sum of its proper divisors (44854042128).

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

21673628256 is a wasteful number, since it uses less digits than its factorization.

21673628256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24093 (or 24078 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The spelling of 21673628256 in words is "twenty-one billion, six hundred seventy-three million, six hundred twenty-eight thousand, two hundred fifty-six".