542522400000000 has 1728 divisors, whose sum is σ = 2117113916037120. Its totient is φ = 120960000000000.

The previous prime is 542522399999939. The next prime is 542522400000011. The reversal of 542522400000000 is 4225245.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 722399999625 + ... + 722400000375.

Almost surely, 2^{542522400000000} is an apocalyptic number.

542522400000000 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 542522400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058556958018560).

542522400000000 is an abundant number, since it is smaller than the sum of its proper divisors (1574591516037120).

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

542522400000000 is an frugal number, since it uses more digits than its factorization.

542522400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

Adding to 542522400000000 its reverse (4225245), we get a palindrome (542522404225245).

The spelling of 542522400000000 in words is "five hundred forty-two trillion, five hundred twenty-two billion, four hundred million", and thus it is an aban number.