542326269600 has 432 divisors, whose sum is σ = 1956875251968. Its totient is φ = 141267486720.

The previous prime is 542326269581. The next prime is 542326269601. The reversal of 542326269600 is 6962623245.

542326269600 is a `hidden beast` number, since 5 + 4 + 2 + 32 + 6 + 2 + 6 + 9 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (542326269601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 218943562 + ... + 218946038.

It is an arithmetic number, because the mean of its divisors is an integer number (4529803824).

Almost surely, 2^542326269600 is an apocalyptic number.

542326269600 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 542326269600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978437625984).

542326269600 is an abundant number, since it is smaller than the sum of its proper divisors (1414548982368).

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

542326269600 is a wasteful number, since it uses less digits than its factorization.

542326269600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197 (or 3181 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 542326269600 in words is "five hundred forty-two billion, three hundred twenty-six million, two hundred sixty-nine thousand, six hundred".