540511108368 has 480 divisors, whose sum is σ = 1880241656832. Its totient is φ = 129896524800.

The previous prime is 540511108367. The next prime is 540511108429. The reversal of 540511108368 is 863801115045.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (540511108367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57368298 + ... + 57377718.

Almost surely, 2^540511108368 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 540511108368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940120828416).

540511108368 is an abundant number, since it is smaller than the sum of its proper divisors (1339730548464).

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

540511108368 is a wasteful number, since it uses less digits than its factorization.

540511108368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9531 (or 9506 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 540511108368 in words is "five hundred forty billion, five hundred eleven million, one hundred eight thousand, three hundred sixty-eight".