221193866880 has 640 divisors, whose sum is σ = 933943824000. Its totient is φ = 48812875776.

The previous prime is 221193866809. The next prime is 221193866921. The reversal of 221193866880 is 88668391122.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10513011 + ... + 10534029.

It is an arithmetic number, because the mean of its divisors is an integer number (1459287225).

Almost surely, 2^221193866880 is an apocalyptic number.

221193866880 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 221193866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466971912000).

221193866880 is an abundant number, since it is smaller than the sum of its proper divisors (712749957120).

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

221193866880 is a wasteful number, since it uses less digits than its factorization.

221193866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21086 (or 21065 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 221193866880 in words is "two hundred twenty-one billion, one hundred ninety-three million, eight hundred sixty-six thousand, eight hundred eighty".