221213668515840 has 3584 divisors, whose sum is σ = 1069456069140480. Its totient is φ = 42413394493440.

The previous prime is 221213668515733. The next prime is 221213668515863. The reversal of 221213668515840 is 48515866312122.

221213668515840 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 1 + 3 + 6 + 6 + 8 + 51 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

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 255 ways as a sum of consecutive naturals, for example, 89669098287 + ... + 89669100753.

It is an arithmetic number, because the mean of its divisors is an integer number (298397340720).

Almost surely, 2^{221213668515840} is an apocalyptic number.

221213668515840 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 221213668515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534728034570240).

221213668515840 is an abundant number, since it is smaller than the sum of its proper divisors (848242400624640).

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

221213668515840 is an equidigital number, since it uses as much as digits as its factorization.

221213668515840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 221213668515840 in words is "two hundred twenty-one trillion, two hundred thirteen billion, six hundred sixty-eight million, five hundred fifteen thousand, eight hundred forty".