221317860571920 has 2400 divisors, whose sum is σ = 952449224348160. Its totient is φ = 47388203089920.

The previous prime is 221317860571903. The next prime is 221317860571967. The reversal of 221317860571920 is 29175068713122.

221317860571920 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 1 + 7 + 8 + 60 + 571 + 9 + 2 + 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 polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 117161386336 + ... + 117161388224.

Almost surely, 2^{221317860571920} is an apocalyptic number.

221317860571920 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 221317860571920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476224612174080).

221317860571920 is an abundant number, since it is smaller than the sum of its proper divisors (731131363776240).

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

221317860571920 is a wasteful number, since it uses less digits than its factorization.

221317860571920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 221317860571920 in words is "two hundred twenty-one trillion, three hundred seventeen billion, eight hundred sixty million, five hundred seventy-one thousand, nine hundred twenty".