542277808200 has 324 divisors, whose sum is σ = 1936474287345. Its totient is φ = 135967795200.

The previous prime is 542277808199. The next prime is 542277808273. The reversal of 542277808200 is 2808772245.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

542277808200 is a `hidden beast` number, since 5 + 422 + 77 + 80 + 82 + 0 + 0 = 666.

It can be written as a sum of positive squares in 14 ways, for example, as 29659039524 + 512618768676 = 172218^2 + 715974^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=520710.

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 531123690 + ... + 531124710.

Almost surely, 2^542277808200 is an apocalyptic number.

542277808200 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 542277808200

542277808200 is an abundant number, since it is smaller than the sum of its proper divisors (1394196479145).

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

542277808200 is a wasteful number, since it uses less digits than its factorization.

542277808200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 542277808200 in words is "five hundred forty-two billion, two hundred seventy-seven million, eight hundred eight thousand, two hundred".