540155304000 has 1120 divisors, whose sum is σ = 2211436202976. Its totient is φ = 129293107200.

The previous prime is 540155303981. The next prime is 540155304001. The reversal of 540155304000 is 403551045.

540155304000 is a `hidden beast` number, since 540 + 1 + 55 + 30 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 379495425024 + 160659878976 = 616032^2 + 400824^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (540155304001) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 311687134 + ... + 311688866.

Almost surely, 2^540155304000 is an apocalyptic number.

540155304000 is a gapful number since it is divisible by the number (50) 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 540155304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105718101488).

540155304000 is an abundant number, since it is smaller than the sum of its proper divisors (1671280898976).

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

540155304000 is a wasteful number, since it uses less digits than its factorization.

540155304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 540155304000 its reverse (403551045), we get a palindrome (540558855045).

The spelling of 540155304000 in words is "five hundred forty billion, one hundred fifty-five million, three hundred four thousand".