542479099938048 has 1152 divisors, whose sum is σ = 2026642352000000. Its totient is φ = 143070037254144.

The previous prime is 542479099938011. The next prime is 542479099938067. The reversal of 542479099938048 is 840839990974245.

542479099938048 is a `hidden beast` number, since 5 + 4 + 24 + 7 + 90 + 9 + 99 + 380 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×542479099938048³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 5208630678 + ... + 5208734826.

Almost surely, 2^{542479099938048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542479099938048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013321176000000).

542479099938048 is an abundant number, since it is smaller than the sum of its proper divisors (1484163252061952).

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

542479099938048 is an equidigital number, since it uses as much as digits as its factorization.

542479099938048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104234 (or 104174 counting only the distinct ones).

The product of its (nonzero) digits is 5643509760, while the sum is 81.

The spelling of 542479099938048 in words is "five hundred forty-two trillion, four hundred seventy-nine billion, ninety-nine million, nine hundred thirty-eight thousand, forty-eight".