542016640000 has 220 divisors, whose sum is σ = 1477051792128. Its totient is φ = 197094400000.

The previous prime is 542016639959. The next prime is 542016640003. The reversal of 542016640000 is 46610245.

It is a tau number, because it is divible by the number of its divisors (220).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542016640003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7001505 + ... + 7078495.

Almost surely, 2^542016640000 is an apocalyptic number.

542016640000 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 542016640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738525896064).

542016640000 is an abundant number, since it is smaller than the sum of its proper divisors (935035152128).

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

542016640000 is an equidigital number, since it uses as much as digits as its factorization.

542016640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77042 (or 77009 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 542016640000 in words is "five hundred forty-two billion, sixteen million, six hundred forty thousand".