540879881472 has 648 divisors, whose sum is σ = 1982992257792. Its totient is φ = 140739379200.

The previous prime is 540879881461. The next prime is 540879881473. The reversal of 540879881472 is 274188978045.

540879881472 is a `hidden beast` number, since 5 + 4 + 0 + 87 + 9 + 8 + 81 + 472 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540879881473) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 59491647 + ... + 59500737.

Almost surely, 2^540879881472 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 540879881472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991496128896).

540879881472 is an abundant number, since it is smaller than the sum of its proper divisors (1442112376320).

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

540879881472 is a wasteful number, since it uses less digits than its factorization.

540879881472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9175 (or 9151 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 540879881472 in words is "five hundred forty billion, eight hundred seventy-nine million, eight hundred eighty-one thousand, four hundred seventy-two".