540210989568 has 160 divisors (see below), whose sum is σ = 1460502236160. Its totient is φ = 177409290240.

The previous prime is 540210989497. The next prime is 540210989573. The reversal of 540210989568 is 865989012045.

It is a happy number.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59575371 + ... + 59584437.

It is an arithmetic number, because the mean of its divisors is an integer number (9128138976).

Almost surely, 2^540210989568 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 540210989568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730251118080).

540210989568 is an abundant number, since it is smaller than the sum of its proper divisors (920291246592).

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

540210989568 is an equidigital number, since it uses as much as digits as its factorization.

540210989568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9658 (or 9642 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 57.

The spelling of 540210989568 in words is "five hundred forty billion, two hundred ten million, nine hundred eighty-nine thousand, five hundred sixty-eight".