542882915947008 has 2880 divisors, whose sum is σ = 2069795164631040. Its totient is φ = 141742391132160.

The previous prime is 542882915947003. The next prime is 542882915947019. The reversal of 542882915947008 is 800749519288245.

542882915947008 is a `hidden beast` number, since 5 + 4 + 2 + 8 + 8 + 29 + 1 + 594 + 7 + 0 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542882915947003) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1177620207898 + ... + 1177620208358.

It is an arithmetic number, because the mean of its divisors is an integer number (718678876608).

Almost surely, 2^{542882915947008} 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 542882915947008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034897582315520).

542882915947008 is an abundant number, since it is smaller than the sum of its proper divisors (1526912248684032).

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

542882915947008 is an equidigital number, since it uses as much as digits as its factorization.

542882915947008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 72.

The spelling of 542882915947008 in words is "five hundred forty-two trillion, eight hundred eighty-two billion, nine hundred fifteen million, nine hundred forty-seven thousand, eight".