542984579300 has 144 divisors (see below), whose sum is σ = 1221951321360. Its totient is φ = 209268541440.

The previous prime is 542984579297. The next prime is 542984579303. The reversal of 542984579300 is 3975489245.

It is an interprime number because it is at equal distance from previous prime (542984579297) and next prime (542984579303).

It can be written as a sum of positive squares in 24 ways, for example, as 30534766564 + 512449812736 = 174742^2 + 715856^2 .

It is not an unprimeable number, because it can be changed into a prime (542984579303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166916474 + ... + 166919726.

It is an arithmetic number, because the mean of its divisors is an integer number (8485773065).

Almost surely, 2^542984579300 is an apocalyptic number.

542984579300 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 542984579300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610975660680).

542984579300 is an abundant number, since it is smaller than the sum of its proper divisors (678966742060).

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

542984579300 is a wasteful number, since it uses less digits than its factorization.

542984579300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 56.

The spelling of 542984579300 in words is "five hundred forty-two billion, nine hundred eighty-four million, five hundred seventy-nine thousand, three hundred".