10027218496 has 21 divisors (see below), whose sum is σ = 19899351489. Its totient is φ = 5013208704.

The previous prime is 10027218469. The next prime is 10027218541. The reversal of 10027218496 is 69481272001.

The square root of 10027218496 is 100136.

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., 9409000000 + 618218496 = 97000^2 + 24864^2 .

It is a super-2 number, since 2×10027218496² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 794830 + ... + 807346.

Almost surely, 2^10027218496 is an apocalyptic number.

10027218496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10027218496 is the 100136-th square number.

It is an amenable number.

10027218496 is a deficient number, since it is larger than the sum of its proper divisors (9872132993).

10027218496 is an frugal number, since it uses more digits than its factorization.

10027218496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25046 (or 12519 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 10027218496 in words is "ten billion, twenty-seven million, two hundred eighteen thousand, four hundred ninety-six".