15482021478400 has 513 divisors, whose sum is σ = 40529410420681. Its totient is φ = 5866447175680.

The previous prime is 15482021478367. The next prime is 15482021478403. The reversal of 15482021478400 is 487412028451.

The square root of 15482021478400 is 3934720.

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 6032250372096 + 9449771106304 = 2456064^2 + 3074048^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15482021478403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 292113612774 + ... + 292113612826.

Almost surely, 2^{15482021478400} is an apocalyptic number.

15482021478400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15482021478400 is the 3934720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15482021478400

15482021478400 is an abundant number, since it is smaller than the sum of its proper divisors (25047388942281).

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

15482021478400 is an frugal number, since it uses more digits than its factorization.

15482021478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 46.

The spelling of 15482021478400 in words is "fifteen trillion, four hundred eighty-two billion, twenty-one million, four hundred seventy-eight thousand, four hundred".