540390712708080 has 1280 divisors, whose sum is σ = 2122359660288000. Its totient is φ = 125283957866496.

The previous prime is 540390712708039. The next prime is 540390712708087. The reversal of 540390712708080 is 80807217093045.

It is a happy number.

540390712708080 is a `hidden beast` number, since 5 + 40 + 390 + 71 + 2 + 70 + 8 + 0 + 80 = 666.

It is a super-2 number, since 2×540390712708080² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540390712708087) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 65351394186 + ... + 65351402454.

It is an arithmetic number, because the mean of its divisors is an integer number (1658093484600).

Almost surely, 2^{540390712708080} 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 540390712708080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061179830144000).

540390712708080 is an abundant number, since it is smaller than the sum of its proper divisors (1581968947579920).

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

540390712708080 is a wasteful number, since it uses less digits than its factorization.

540390712708080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9023 (or 9011 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 540390712708080 in words is "five hundred forty trillion, three hundred ninety billion, seven hundred twelve million, seven hundred eight thousand, eighty".