540558266976 has 576 divisors, whose sum is σ = 1999230105600. Its totient is φ = 134539481088.

The previous prime is 540558266953. The next prime is 540558267013. The reversal of 540558266976 is 679662855045.

It is a happy number.

540558266976 is a `hidden beast` number, since 5 + 4 + 0 + 558 + 2 + 6 + 6 + 9 + 76 = 666.

540558266976 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137930745 + ... + 137934663.

It is an arithmetic number, because the mean of its divisors is an integer number (3470885600).

Almost surely, 2^540558266976 is an apocalyptic number.

540558266976 is a gapful number since it is divisible by the number (56) 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 540558266976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999615052800).

540558266976 is an abundant number, since it is smaller than the sum of its proper divisors (1458671838624).

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

540558266976 is a wasteful number, since it uses less digits than its factorization.

540558266976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251 (or 4240 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 540558266976 in words is "five hundred forty billion, five hundred fifty-eight million, two hundred sixty-six thousand, nine hundred seventy-six".