542788953735168 has 2048 divisors, whose sum is σ = 2060546227200000. Its totient is φ = 140498143543296.

The previous prime is 542788953735167. The next prime is 542788953735181. The reversal of 542788953735168 is 861537359887245.

542788953735168 is a `hidden beast` number, since 5 + 4 + 2 + 7 + 8 + 8 + 95 + 3 + 7 + 3 + 516 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is not an unprimeable number, because it can be changed into a prime (542788953735167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 132613961730 + ... + 132613965822.

It is an arithmetic number, because the mean of its divisors is an integer number (1006126087500).

Almost surely, 2^{542788953735168} 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 542788953735168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030273113600000).

542788953735168 is an abundant number, since it is smaller than the sum of its proper divisors (1517757273464832).

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

542788953735168 is an equidigital number, since it uses as much as digits as its factorization.

542788953735168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4147 counting only the distinct ones).

The product of its digits is 12192768000, while the sum is 81.

The spelling of 542788953735168 in words is "five hundred forty-two trillion, seven hundred eighty-eight billion, nine hundred fifty-three million, seven hundred thirty-five thousand, one hundred sixty-eight".