542433616200 has 432 divisors, whose sum is σ = 2170788443460. Its totient is φ = 120960000000.

The previous prime is 542433616199. The next prime is 542433616327. The reversal of 542433616200 is 2616334245.

542433616200 is a `hidden beast` number, since 5 + 4 + 2 + 4 + 33 + 616 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 42129204516 + 500304411684 = 205254^2 + 707322^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3541200 + ... + 3691200.

Almost surely, 2^542433616200 is an apocalyptic number.

542433616200 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 542433616200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085394221730).

542433616200 is an abundant number, since it is smaller than the sum of its proper divisors (1628354827260).

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

542433616200 is a wasteful number, since it uses less digits than its factorization.

542433616200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150078 (or 150059 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 542433616200 in words is "five hundred forty-two billion, four hundred thirty-three million, six hundred sixteen thousand, two hundred".