542729211321600 has 4320 divisors, whose sum is σ = 2308180157015040. Its totient is φ = 125076897792000.

The previous prime is 542729211321599. The next prime is 542729211321607. The reversal of 542729211321600 is 6123112927245.

542729211321600 is a `hidden beast` number, since 5 + 4 + 2 + 7 + 2 + 9 + 2 + 1 + 1 + 32 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542729211321607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 483285138639 + ... + 483285139761.

It is an arithmetic number, because the mean of its divisors is an integer number (534300962272).

Almost surely, 2^{542729211321600} is an apocalyptic number.

542729211321600 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 542729211321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154090078507520).

542729211321600 is an abundant number, since it is smaller than the sum of its proper divisors (1765450945693440).

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

542729211321600 is a wasteful number, since it uses less digits than its factorization.

542729211321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 542729211321600 in words is "five hundred forty-two trillion, seven hundred twenty-nine billion, two hundred eleven million, three hundred twenty-one thousand, six hundred".