5145003427600 has 135 divisors (see below), whose sum is σ = 12924287410069. Its totient is φ = 1968123836800.

The previous prime is 5145003427589. The next prime is 5145003427621. The reversal of 5145003427600 is 67243005415.

The square root of 5145003427600 is 2268260.

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

It can be written as a sum of positive squares in only one way, i.e., 1852201233936 + 3292802193664 = 1360956^2 + 1814608^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5145003427600.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1043397135 + ... + 1043402065.

Almost surely, 2^{5145003427600} is an apocalyptic number.

5145003427600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5145003427600 is the 2268260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5145003427600

5145003427600 is an abundant number, since it is smaller than the sum of its proper divisors (7779283982469).

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

5145003427600 is an frugal number, since it uses more digits than its factorization.

5145003427600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9926 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 5145003427600 in words is "five trillion, one hundred forty-five billion, three million, four hundred twenty-seven thousand, six hundred".