540237164544 has 1872 divisors, whose sum is σ = 2202511409280. Its totient is φ = 130427781120.

The previous prime is 540237164513. The next prime is 540237164557. The reversal of 540237164544 is 445461732045.

540237164544 is a `hidden beast` number, since 5 + 40 + 2 + 3 + 7 + 1 + 64 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 540237164544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10193154022 + ... + 10193154074.

It is an arithmetic number, because the mean of its divisors is an integer number (1176555240).

Almost surely, 2^540237164544 is an apocalyptic number.

540237164544 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540237164544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101255704640).

540237164544 is an abundant number, since it is smaller than the sum of its proper divisors (1662274244736).

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

540237164544 is a wasteful number, since it uses less digits than its factorization.

540237164544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

Adding to 540237164544 its reverse (445461732045), we get a palindrome (985698896589).

The spelling of 540237164544 in words is "five hundred forty billion, two hundred thirty-seven million, one hundred sixty-four thousand, five hundred forty-four".