221085816400 has 360 divisors, whose sum is σ = 590443320320. Its totient is φ = 79322664960.

The previous prime is 221085816383. The next prime is 221085816401. The reversal of 221085816400 is 4618580122.

It is a self number, because there is not a number n which added to its sum of digits gives 221085816400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221085816401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 510590584 + ... + 510591016.

Almost surely, 2^221085816400 is an apocalyptic number.

221085816400 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 221085816400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295221660160).

221085816400 is an abundant number, since it is smaller than the sum of its proper divisors (369357503920).

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

221085816400 is a wasteful number, since it uses less digits than its factorization.

221085816400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The spelling of 221085816400 in words is "two hundred twenty-one billion, eighty-five million, eight hundred sixteen thousand, four hundred".