54001850222592 has 576 divisors, whose sum is σ = 161556811416000. Its totient is φ = 17366376775680.

The previous prime is 54001850222557. The next prime is 54001850222599. The reversal of 54001850222592 is 29522205810045.

54001850222592 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 1 + 8 + 50 + 2 + 2 + 2 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (54001850222599) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31784490159 + ... + 31784491857.

It is an arithmetic number, because the mean of its divisors is an integer number (280480575375).

Almost surely, 2^{54001850222592} 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 54001850222592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80778405708000).

54001850222592 is an abundant number, since it is smaller than the sum of its proper divisors (107554961193408).

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

54001850222592 is a wasteful number, since it uses less digits than its factorization.

54001850222592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 54001850222592 in words is "fifty-four trillion, one billion, eight hundred fifty million, two hundred twenty-two thousand, five hundred ninety-two".