20224987728400 has 675 divisors, whose sum is σ = 61555806961269. Its totient is φ = 6382742446080.

The previous prime is 20224987728383. The next prime is 20224987728469. The reversal of 20224987728400 is 482778942202.

The square root of 20224987728400 is 4497220.

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

It can be written as a sum of positive squares in 13 ways, for example, as 19720455955984 + 504531772416 = 4440772^2 + 710304^2 .

It is a super-2 number, since 2×20224987728400² (a number of 27 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 134 ways as a sum of consecutive naturals, for example, 57294582624 + ... + 57294582976.

Almost surely, 2^{20224987728400} is an apocalyptic number.

20224987728400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20224987728400 is the 4497220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20224987728400

20224987728400 is an abundant number, since it is smaller than the sum of its proper divisors (41330819232869).

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

20224987728400 is an frugal number, since it uses more digits than its factorization.

20224987728400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 55.

The spelling of 20224987728400 in words is "twenty trillion, two hundred twenty-four billion, nine hundred eighty-seven million, seven hundred twenty-eight thousand, four hundred".