542254521600 has 1728 divisors, whose sum is σ = 2333843124480. Its totient is φ = 121739673600.

The previous prime is 542254521587. The next prime is 542254521689. The reversal of 542254521600 is 6125452245.

542254521600 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 5 + 45 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×542254521600³ (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 3134419114 + ... + 3134419286.

It is an arithmetic number, because the mean of its divisors is an integer number (1350603660).

Almost surely, 2^542254521600 is an apocalyptic number.

542254521600 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 542254521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166921562240).

542254521600 is an abundant number, since it is smaller than the sum of its proper divisors (1791588602880).

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

542254521600 is a wasteful number, since it uses less digits than its factorization.

542254521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 542254521600 its reverse (6125452245), we get a palindrome (548379973845).

The spelling of 542254521600 in words is "five hundred forty-two billion, two hundred fifty-four million, five hundred twenty-one thousand, six hundred".