542542413235200 has 528 divisors, whose sum is σ = 2064936217242624. Its totient is φ = 123063039590400.

The previous prime is 542542413235171. The next prime is 542542413235211. The reversal of 542542413235200 is 2532314245245.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66573717 + ... + 74277483.

It is an arithmetic number, because the mean of its divisors is an integer number (3910864047808).

Almost surely, 2^{542542413235200} is an apocalyptic number.

542542413235200 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 542542413235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032468108621312).

542542413235200 is an abundant number, since it is smaller than the sum of its proper divisors (1522393804007424).

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

542542413235200 is a wasteful number, since it uses less digits than its factorization.

542542413235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7703938 (or 7703915 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

The spelling of 542542413235200 in words is "five hundred forty-two trillion, five hundred forty-two billion, four hundred thirteen million, two hundred thirty-five thousand, two hundred".