221527208772 has 216 divisors, whose sum is σ = 609706843200. Its totient is φ = 70246854720.

The previous prime is 221527208753. The next prime is 221527208789. The reversal of 221527208772 is 277802725122.

221527208772 is a `hidden beast` number, since 2 + 21 + 527 + 20 + 87 + 7 + 2 = 666.

It is a super-3 number, since 3×221527208772³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 142094929 + ... + 142096487.

Almost surely, 2^221527208772 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 221527208772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304853421600).

221527208772 is an abundant number, since it is smaller than the sum of its proper divisors (388179634428).

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

221527208772 is a wasteful number, since it uses less digits than its factorization.

221527208772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 221527208772 in words is "two hundred twenty-one billion, five hundred twenty-seven million, two hundred eight thousand, seven hundred seventy-two".