21417791620096 has 99 divisors (see below), whose sum is σ = 44350837796109. Its totient is φ = 10337550225408.

The previous prime is 21417791620037. The next prime is 21417791620129. The reversal of 21417791620096 is 69002619771412.

The square root of 21417791620096 is 4627936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11230970397696 + 10186821222400 = 3351264^2 + 3191680^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4294722115 + ... + 4294727101.

Almost surely, 2^{21417791620096} is an apocalyptic number.

21417791620096 is the 4627936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21417791620096

21417791620096 is an abundant number, since it is smaller than the sum of its proper divisors (22933046176013).

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

21417791620096 is an frugal number, since it uses more digits than its factorization.

21417791620096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10052 (or 5018 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 55.

The spelling of 21417791620096 in words is "twenty-one trillion, four hundred seventeen billion, seven hundred ninety-one million, six hundred twenty thousand, ninety-six".