542359104000 has 1280 divisors, whose sum is σ = 2208595783680. Its totient is φ = 115325337600.

The previous prime is 542359103983. The next prime is 542359104037. The reversal of 542359104000 is 401953245.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1710911842 + ... + 1710912158.

It is an arithmetic number, because the mean of its divisors is an integer number (1725465456).

Almost surely, 2^542359104000 is an apocalyptic number.

542359104000 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 542359104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104297891840).

542359104000 is an abundant number, since it is smaller than the sum of its proper divisors (1666236679680).

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

542359104000 is a wasteful number, since it uses less digits than its factorization.

542359104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 542359104000 in words is "five hundred forty-two billion, three hundred fifty-nine million, one hundred four thousand".