542360387800 has 192 divisors, whose sum is σ = 1575911635200. Its totient is φ = 168641932800.

The previous prime is 542360387759. The next prime is 542360387801. The reversal of 542360387800 is 8783063245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542360387801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6410574 + ... + 6494626.

It is an arithmetic number, because the mean of its divisors is an integer number (8207873100).

Almost surely, 2^542360387800 is an apocalyptic number.

542360387800 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 542360387800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787955817600).

542360387800 is an abundant number, since it is smaller than the sum of its proper divisors (1033551247400).

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

542360387800 is a wasteful number, since it uses less digits than its factorization.

542360387800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84506 (or 84497 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 542360387800 in words is "five hundred forty-two billion, three hundred sixty million, three hundred eighty-seven thousand, eight hundred".