5146627600 has 135 divisors (see below), whose sum is σ = 13197442791. Its totient is φ = 1928371200.

The previous prime is 5146627589. The next prime is 5146627613. The reversal of 5146627600 is 67266415.

It is a happy number.

The square root of 5146627600 is 71740.

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

It can be written as a sum of positive squares in 4 ways, for example, as 120384784 + 5026242816 = 10972^2 + 70896^2 .

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 5146627600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24391495 + ... + 24391705.

Almost surely, 2^5146627600 is an apocalyptic number.

5146627600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5146627600 is the 71740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5146627600

5146627600 is an abundant number, since it is smaller than the sum of its proper divisors (8050815191).

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

5146627600 is a wasteful number, since it uses less digits than its factorization.

5146627600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The cubic root of 5146627600 is about 1726.5304739622.

The spelling of 5146627600 in words is "five billion, one hundred forty-six million, six hundred twenty-seven thousand, six hundred".