542518138560 has 448 divisors, whose sum is σ = 1922803246080. Its totient is φ = 128793968640.

The previous prime is 542518138559. The next prime is 542518138607. The reversal of 542518138560 is 65831815245.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 319691632 + ... + 319693328.

Almost surely, 2^542518138560 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 542518138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961401623040).

542518138560 is an abundant number, since it is smaller than the sum of its proper divisors (1380285107520).

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

542518138560 is a wasteful number, since it uses less digits than its factorization.

542518138560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 48.

The spelling of 542518138560 in words is "five hundred forty-two billion, five hundred eighteen million, one hundred thirty-eight thousand, five hundred sixty".