220986903352320 has 1760 divisors, whose sum is σ = 970402950190080. Its totient is φ = 46937438945280.

The previous prime is 220986903352289. The next prime is 220986903352343. The reversal of 220986903352320 is 23253309689022.

220986903352320 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 8 + 6 + 90 + 3 + 3 + 523 + 20 = 666.

It is a super-2 number, since 2×220986903352320² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 3898754380 + ... + 3898811060.

It is an arithmetic number, because the mean of its divisors is an integer number (551365312608).

Almost surely, 2^{220986903352320} is an apocalyptic number.

220986903352320 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 220986903352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485201475095040).

220986903352320 is an abundant number, since it is smaller than the sum of its proper divisors (749416046837760).

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

220986903352320 is a wasteful number, since it uses less digits than its factorization.

220986903352320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56821 (or 56794 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 220986903352320 in words is "two hundred twenty trillion, nine hundred eighty-six billion, nine hundred three million, three hundred fifty-two thousand, three hundred twenty".