540133828864 has 144 divisors (see below), whose sum is σ = 1297690468480. Its totient is φ = 219191132160.

The previous prime is 540133828849. The next prime is 540133828879. The reversal of 540133828864 is 468828331045.

It is an interprime number because it is at equal distance from previous prime (540133828849) and next prime (540133828879).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116884474 + ... + 116889094.

Almost surely, 2^540133828864 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 540133828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648845234240).

540133828864 is an abundant number, since it is smaller than the sum of its proper divisors (757556639616).

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

540133828864 is a wasteful number, since it uses less digits than its factorization.

540133828864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8096 (or 8082 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 52.

The spelling of 540133828864 in words is "five hundred forty billion, one hundred thirty-three million, eight hundred twenty-eight thousand, eight hundred sixty-four".