540256605012 has 18 divisors (see below), whose sum is σ = 1365648640538. Its totient is φ = 180085534992.

The previous prime is 540256605011. The next prime is 540256605013. The reversal of 540256605012 is 210506652045.

540256605012 is a `hidden beast` number, since 5 + 40 + 2 + 5 + 6 + 605 + 0 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (540256605011) and next prime (540256605013).

It can be written as a sum of positive squares in only one way, i.e., 480839617476 + 59416987536 = 693426^2 + 243756^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 15007127917 = 540256605012 / (5 + 4 + 0 + 2 + 5 + 6 + 6 + 0 + 5 + 0 + 1 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540256605011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7503563923 + ... + 7503563994.

Almost surely, 2^540256605012 is an apocalyptic number.

It is an amenable number.

540256605012 is an abundant number, since it is smaller than the sum of its proper divisors (825392035526).

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

540256605012 is a wasteful number, since it uses less digits than its factorization.

540256605012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15007127927 (or 15007127922 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 540256605012 in words is "five hundred forty billion, two hundred fifty-six million, six hundred five thousand, twelve".