221679252920 has 64 divisors (see below), whose sum is σ = 512755401600. Its totient is φ = 86191534080.

The previous prime is 221679252917. The next prime is 221679252937. The reversal of 221679252920 is 29252976122.

It is a happy number.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1465640 + ... + 1609800.

It is an arithmetic number, because the mean of its divisors is an integer number (8011803150).

Almost surely, 2^221679252920 is an apocalyptic number.

221679252920 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 221679252920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256377700800).

221679252920 is an abundant number, since it is smaller than the sum of its proper divisors (291076148680).

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

221679252920 is a wasteful number, since it uses less digits than its factorization.

221679252920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145248 (or 145244 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The spelling of 221679252920 in words is "two hundred twenty-one billion, six hundred seventy-nine million, two hundred fifty-two thousand, nine hundred twenty".