540225163264 has 104 divisors (see below), whose sum is σ = 1088596677960. Its totient is φ = 268050628608.

The previous prime is 540225163253. The next prime is 540225163273. The reversal of 540225163264 is 462361522045.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 136746123264 + 403479040000 = 369792^2 + 635200^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 478498252 + ... + 478499380.

Almost surely, 2^540225163264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540225163264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544298338980).

540225163264 is an abundant number, since it is smaller than the sum of its proper divisors (548371514696).

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

540225163264 is a wasteful number, since it uses less digits than its factorization.

540225163264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 540225163264 in words is "five hundred forty billion, two hundred twenty-five million, one hundred sixty-three thousand, two hundred sixty-four".