542053014100000 has 576 divisors, whose sum is σ = 1485450469085184. Its totient is φ = 193342464000000.

The previous prime is 542053014099953. The next prime is 542053014100001. The reversal of 542053014100000 is 1410350245.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (542053014100001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23253088345 + ... + 23253111655.

It is an arithmetic number, because the mean of its divisors is an integer number (2578907064384).

Almost surely, 2^{542053014100000} is an apocalyptic number.

542053014100000 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 542053014100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742725234542592).

542053014100000 is an abundant number, since it is smaller than the sum of its proper divisors (943397454985184).

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

542053014100000 is a wasteful number, since it uses less digits than its factorization.

542053014100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23967 (or 23939 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 542053014100000 its reverse (1410350245), we get a palindrome (542054424450245).

The spelling of 542053014100000 in words is "five hundred forty-two trillion, fifty-three billion, fourteen million, one hundred thousand".