540957254816 has 96 divisors (see below), whose sum is σ = 1224119070720. Its totient is φ = 232730668800.

The previous prime is 540957254777. The next prime is 540957254863. The reversal of 540957254816 is 618452759045.

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 15 ways as a sum of consecutive naturals, for example, 7232651 + ... + 7307061.

It is an arithmetic number, because the mean of its divisors is an integer number (12751240320).

Almost surely, 2^540957254816 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 540957254816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612059535360).

540957254816 is an abundant number, since it is smaller than the sum of its proper divisors (683161815904).

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

540957254816 is a wasteful number, since it uses less digits than its factorization.

540957254816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75538 (or 75530 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 56.

The spelling of 540957254816 in words is "five hundred forty billion, nine hundred fifty-seven million, two hundred fifty-four thousand, eight hundred sixteen".