540562013712 has 120 divisors (see below), whose sum is σ = 1730253482880. Its totient is φ = 154328993280.

The previous prime is 540562013683. The next prime is 540562013729. The reversal of 540562013712 is 217310265045.

540562013712 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 620 + 13 + 7 + 12 = 666.

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

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, 1128589 + ... + 1534547.

It is an arithmetic number, because the mean of its divisors is an integer number (14418779024).

Almost surely, 2^540562013712 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 540562013712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865126741440).

540562013712 is an abundant number, since it is smaller than the sum of its proper divisors (1189691469168).

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

540562013712 is a wasteful number, since it uses less digits than its factorization.

540562013712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407301 (or 407292 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 540562013712 its reverse (217310265045), we get a palindrome (757872278757).

The spelling of 540562013712 in words is "five hundred forty billion, five hundred sixty-two million, thirteen thousand, seven hundred twelve".