221587085790 has 192 divisors, whose sum is σ = 665566626816. Its totient is φ = 50100650496.

The previous prime is 221587085777. The next prime is 221587085827. The reversal of 221587085790 is 97580785122.

221587085790 is a `hidden beast` number, since 2 + 2 + 1 + 587 + 0 + 8 + 57 + 9 + 0 = 666.

It is a super-3 number, since 3×221587085790³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92596834 + ... + 92599226.

It is an arithmetic number, because the mean of its divisors is an integer number (3466492848).

Almost surely, 2^221587085790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221587085790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332783313408).

221587085790 is an abundant number, since it is smaller than the sum of its proper divisors (443979541026).

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

221587085790 is a wasteful number, since it uses less digits than its factorization.

221587085790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3943 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 221587085790 in words is "two hundred twenty-one billion, five hundred eighty-seven million, eighty-five thousand, seven hundred ninety".