21286227690000 has 1575 divisors, whose sum is σ = 93810866814093. Its totient is φ = 4491160128000.

The previous prime is 21286227689897. The next prime is 21286227690037. The reversal of 21286227690000 is 9672268212.

The square root of 21286227690000 is 4613700.

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

21286227690000 is a `hidden beast` number, since 2 + 12 + 8 + 622 + 7 + 6 + 9 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 17 ways, for example, as 8212970125584 + 13073257564416 = 2865828^2 + 3615696^2 .

It is a tau number, because it is divible by the number of its divisors (1575).

It is a super-2 number, since 2×21286227690000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 1637402129994 + ... + 1637402130006.

Almost surely, 2^{21286227690000} is an apocalyptic number.

21286227690000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21286227690000 is the 4613700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21286227690000

21286227690000 is an abundant number, since it is smaller than the sum of its proper divisors (72524639124093).

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

21286227690000 is an frugal number, since it uses more digits than its factorization.

21286227690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 21286227690000 in words is "twenty-one trillion, two hundred eighty-six billion, two hundred twenty-seven million, six hundred ninety thousand".