10220721168384 has 336 divisors, whose sum is σ = 30097766322000. Its totient is φ = 3341065125888.

The previous prime is 10220721168373. The next prime is 10220721168407. The reversal of 10220721168384 is 48386112702201.

10220721168384 is a `hidden beast` number, since 1 + 0 + 2 + 207 + 2 + 1 + 1 + 68 + 384 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1953125832 + ... + 1953131064.

Almost surely, 2^{10220721168384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220721168384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15048883161000).

10220721168384 is an abundant number, since it is smaller than the sum of its proper divisors (19877045153616).

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

10220721168384 is an equidigital number, since it uses as much as digits as its factorization.

10220721168384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5773 (or 5746 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 10220721168384 in words is "ten trillion, two hundred twenty billion, seven hundred twenty-one million, one hundred sixty-eight thousand, three hundred eighty-four".