542316280800 has 432 divisors, whose sum is σ = 2057340321792. Its totient is φ = 123722726400.

The previous prime is 542316280799. The next prime is 542316280837. The reversal of 542316280800 is 8082613245.

542316280800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66204705 + ... + 66212895.

It is an arithmetic number, because the mean of its divisors is an integer number (4762361856).

Almost surely, 2^542316280800 is an apocalyptic number.

542316280800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542316280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028670160896).

542316280800 is an abundant number, since it is smaller than the sum of its proper divisors (1515024040992).

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

542316280800 is a wasteful number, since it uses less digits than its factorization.

542316280800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8791 (or 8771 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 542316280800 in words is "five hundred forty-two billion, three hundred sixteen million, two hundred eighty thousand, eight hundred".