540138628680 has 192 divisors, whose sum is σ = 1889276400000. Its totient is φ = 123178438656.

The previous prime is 540138628639. The next prime is 540138628697. The reversal of 540138628680 is 86826831045.

It is a happy number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2476696 + ... + 2685944.

It is an arithmetic number, because the mean of its divisors is an integer number (9839981250).

Almost surely, 2^540138628680 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 540138628680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944638200000).

540138628680 is an abundant number, since it is smaller than the sum of its proper divisors (1349137771320).

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

540138628680 is a wasteful number, since it uses less digits than its factorization.

540138628680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209716 (or 209705 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 540138628680 in words is "five hundred forty billion, one hundred thirty-eight million, six hundred twenty-eight thousand, six hundred eighty".