540649565200 has 120 divisors (see below), whose sum is σ = 1381223781288. Its totient is φ = 202664509440.

The previous prime is 540649565177. The next prime is 540649565219. The reversal of 540649565200 is 2565946045.

It can be written as a sum of positive squares in 12 ways, for example, as 171952867584 + 368696697616 = 414672^2 + 607204^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1413784 + ... + 1755016.

Almost surely, 2^540649565200 is an apocalyptic number.

540649565200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540649565200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690611890644).

540649565200 is an abundant number, since it is smaller than the sum of its proper divisors (840574216088).

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

540649565200 is a wasteful number, since it uses less digits than its factorization.

540649565200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341501 (or 341490 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 46.

The spelling of 540649565200 in words is "five hundred forty billion, six hundred forty-nine million, five hundred sixty-five thousand, two hundred".