540256977216 has 504 divisors, whose sum is σ = 1809926052480. Its totient is φ = 153617418240.

The previous prime is 540256977203. The next prime is 540256977217. The reversal of 540256977216 is 612779652045.

It is a happy number.

540256977216 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 569 + 7 + 72 + 1 + 6 = 666.

It is a super-2 number, since 2×540256977216² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540256977217) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84956245 + ... + 84962603.

It is an arithmetic number, because the mean of its divisors is an integer number (3591123120).

Almost surely, 2^540256977216 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 540256977216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904963026240).

540256977216 is an abundant number, since it is smaller than the sum of its proper divisors (1269669075264).

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

540256977216 is a wasteful number, since it uses less digits than its factorization.

540256977216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6475 (or 6451 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 540256977216 in words is "five hundred forty billion, two hundred fifty-six million, nine hundred seventy-seven thousand, two hundred sixteen".