540262406520 has 256 divisors, whose sum is σ = 1913564736000. Its totient is φ = 135114835968.

The previous prime is 540262406449. The next prime is 540262406521. The reversal of 540262406520 is 25604262045.

540262406520 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 624 + 0 + 6 + 5 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540262406521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5143891 + ... + 5247869.

It is an arithmetic number, because the mean of its divisors is an integer number (7474862250).

Almost surely, 2^540262406520 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 540262406520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956782368000).

540262406520 is an abundant number, since it is smaller than the sum of its proper divisors (1373302329480).

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

540262406520 is a wasteful number, since it uses less digits than its factorization.

540262406520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104299 (or 104289 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 540262406520 its reverse (25604262045), we get a palindrome (565866668565).

The spelling of 540262406520 in words is "five hundred forty billion, two hundred sixty-two million, four hundred six thousand, five hundred twenty".