540513547000 has 256 divisors, whose sum is σ = 1510001326080. Its totient is φ = 177065856000.

The previous prime is 540513546973. The next prime is 540513547003. The reversal of 540513547000 is 745315045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540513547003) 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 63 ways as a sum of consecutive naturals, for example, 252929932 + ... + 252932068.

It is an arithmetic number, because the mean of its divisors is an integer number (5898442680).

Almost surely, 2^540513547000 is an apocalyptic number.

540513547000 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 540513547000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755000663040).

540513547000 is an abundant number, since it is smaller than the sum of its proper divisors (969487779080).

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

540513547000 is a wasteful number, since it uses less digits than its factorization.

540513547000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 34.

The spelling of 540513547000 in words is "five hundred forty billion, five hundred thirteen million, five hundred forty-seven thousand".