221167514216880 has 2400 divisors, whose sum is σ = 1033451275456512. Its totient is φ = 43271611084800.

The previous prime is 221167514216863. The next prime is 221167514216953. The reversal of 221167514216880 is 88612415761122.

221167514216880 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 67 + 514 + 2 + 1 + 68 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4006122237 + ... + 4006177443.

Almost surely, 2^{221167514216880} is an apocalyptic number.

221167514216880 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 221167514216880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516725637728256).

221167514216880 is an abundant number, since it is smaller than the sum of its proper divisors (812283761239632).

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

221167514216880 is a wasteful number, since it uses less digits than its factorization.

221167514216880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55325 (or 55303 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 221167514216880 in words is "two hundred twenty-one trillion, one hundred sixty-seven billion, five hundred fourteen million, two hundred sixteen thousand, eight hundred eighty".