540011332245105 has 192 divisors, whose sum is σ = 1113787876930560. Its totient is φ = 236807200401408.

The previous prime is 540011332245103. The next prime is 540011332245131. The reversal of 540011332245105 is 501542233110045.

540011332245105 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 1 + 133 + 2 + 2 + 4 + 510 + 5 = 666.

It is not a de Polignac number, because 540011332245105 - 2¹ = 540011332245103 is a prime.

It is a super-2 number, since 2×540011332245105² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 540011332245105.

It is not an unprimeable number, because it can be changed into a prime (540011332245103) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25834144084 + ... + 25834164986.

It is an arithmetic number, because the mean of its divisors is an integer number (5800978525680).

Almost surely, 2^{540011332245105} is an apocalyptic number.

It is an amenable number.

540011332245105 is an abundant number, since it is smaller than the sum of its proper divisors (573776544685455).

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

540011332245105 is a wasteful number, since it uses less digits than its factorization.

540011332245105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39120 (or 39117 counting only the distinct ones).

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

The spelling of 540011332245105 in words is "five hundred forty trillion, eleven billion, three hundred thirty-two million, two hundred forty-five thousand, one hundred five".