221439987874560 has 1728 divisors, whose sum is σ = 929434738111488. Its totient is φ = 43843118432256.

The previous prime is 221439987874531. The next prime is 221439987874607. The reversal of 221439987874560 is 65478789934122.

It is a super-3 number, since 3×221439987874560³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27260858659 + ... + 27260866781.

It is an arithmetic number, because the mean of its divisors is an integer number (537867325296).

It is a 1-persistent number, because it is pandigital, but 2⋅221439987874560 = 442879975749120 is not.

Almost surely, 2^{221439987874560} is an apocalyptic number.

221439987874560 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 221439987874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464717369055744).

221439987874560 is an abundant number, since it is smaller than the sum of its proper divisors (707994750236928).

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

221439987874560 is a wasteful number, since it uses less digits than its factorization.

221439987874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8550 (or 8523 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 75.

The spelling of 221439987874560 in words is "two hundred twenty-one trillion, four hundred thirty-nine billion, nine hundred eighty-seven million, eight hundred seventy-four thousand, five hundred sixty".