54003029339952 has 640 divisors, whose sum is σ = 198034264995840. Its totient is φ = 13680285696000.

The previous prime is 54003029339899. The next prime is 54003029340031. The reversal of 54003029339952 is 25993392030045.

54003029339952 is a `hidden beast` number, since 5 + 400 + 30 + 2 + 93 + 39 + 95 + 2 = 666.

54003029339952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8020645578 + ... + 8020652310.

It is an arithmetic number, because the mean of its divisors is an integer number (309428539056).

Almost surely, 2^{54003029339952} 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 54003029339952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99017132497920).

54003029339952 is an abundant number, since it is smaller than the sum of its proper divisors (144031235655888).

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

54003029339952 is a wasteful number, since it uses less digits than its factorization.

54003029339952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12690 (or 12678 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 54.

The spelling of 54003029339952 in words is "fifty-four trillion, three billion, twenty-nine million, three hundred thirty-nine thousand, nine hundred fifty-two".