542433485700 has 180 divisors, whose sum is σ = 1861788189492. Its totient is φ = 136140134400.

The previous prime is 542433485669. The next prime is 542433485719. The reversal of 542433485700 is 7584334245.

542433485700 is a `hidden beast` number, since 5 + 4 + 2 + 4 + 33 + 48 + 570 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2005606656 + 540427879044 = 44784^2 + 735138^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 1831921 + ... + 2107320.

Almost surely, 2^542433485700 is an apocalyptic number.

542433485700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542433485700 is an abundant number, since it is smaller than the sum of its proper divisors (1319354703792).

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

542433485700 is a wasteful number, since it uses less digits than its factorization.

542433485700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3939284 (or 3939268 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 542433485700 in words is "five hundred forty-two billion, four hundred thirty-three million, four hundred eighty-five thousand, seven hundred".