221950018800 has 180 divisors, whose sum is σ = 770448307200. Its totient is φ = 59169761280.

The previous prime is 221950018793. The next prime is 221950018819. The reversal of 221950018800 is 8810059122.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17334801 + ... + 17347599.

Almost surely, 2^221950018800 is an apocalyptic number.

221950018800 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 221950018800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385224153600).

221950018800 is an abundant number, since it is smaller than the sum of its proper divisors (548498288400).

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

221950018800 is a wasteful number, since it uses less digits than its factorization.

221950018800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17640 (or 17626 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 221950018800 in words is "two hundred twenty-one billion, nine hundred fifty million, eighteen thousand, eight hundred".