15875283984400 has 405 divisors, whose sum is σ = 40380927122757. Its totient is φ = 5997607526400.

The previous prime is 15875283984379. The next prime is 15875283984407. The reversal of 15875283984400 is 448938257851.

The square root of 15875283984400 is 3984380.

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 11211273608976 + 4664010375424 = 3348324^2 + 2159632^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15875283984407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 140489238744 + ... + 140489238856.

Almost surely, 2^{15875283984400} is an apocalyptic number.

15875283984400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15875283984400 is the 3984380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15875283984400

15875283984400 is an abundant number, since it is smaller than the sum of its proper divisors (24505643138357).

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

15875283984400 is an equidigital number, since it uses as much as digits as its factorization.

15875283984400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 64.

The spelling of 15875283984400 in words is "fifteen trillion, eight hundred seventy-five billion, two hundred eighty-three million, nine hundred eighty-four thousand, four hundred".