542473559100 has 576 divisors, whose sum is σ = 1924331834880. Its totient is φ = 130010572800.

The previous prime is 542473559057. The next prime is 542473559101. The reversal of 542473559100 is 1955374245.

542473559100 is a `hidden beast` number, since 5 + 4 + 24 + 7 + 35 + 591 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542473559101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1916867559 + ... + 1916867841.

It is an arithmetic number, because the mean of its divisors is an integer number (3340853880).

Almost surely, 2^542473559100 is an apocalyptic number.

542473559100 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 542473559100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962165917440).

542473559100 is an abundant number, since it is smaller than the sum of its proper divisors (1381858275780).

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

542473559100 is a wasteful number, since it uses less digits than its factorization.

542473559100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 542473559100 in words is "five hundred forty-two billion, four hundred seventy-three million, five hundred fifty-nine thousand, one hundred".