5478689235600 has 405 divisors, whose sum is σ = 22120636390203. Its totient is φ = 1252047121920.

The previous prime is 5478689235571. The next prime is 5478689235611. The reversal of 5478689235600 is 65329868745.

It is a happy number.

The square root of 5478689235600 is 2340660.

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

5478689235600 is a `hidden beast` number, since 5 + 4 + 7 + 8 + 68 + 9 + 2 + 3 + 560 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2374101619344 + 3104587616256 = 1540812^2 + 1761984^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 983074414 + ... + 983079986.

Almost surely, 2^{5478689235600} is an apocalyptic number.

5478689235600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5478689235600 is the 2340660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5478689235600

5478689235600 is an abundant number, since it is smaller than the sum of its proper divisors (16641947154603).

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

5478689235600 is an equidigital number, since it uses as much as digits as its factorization.

5478689235600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11184 (or 5590 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 5478689235600 in words is "five trillion, four hundred seventy-eight billion, six hundred eighty-nine million, two hundred thirty-five thousand, six hundred".