54233435998080 has 384 divisors, whose sum is σ = 200363090896800. Its totient is φ = 13476469063680.

The previous prime is 54233435998051. The next prime is 54233435998081. The reversal of 54233435998080 is 8089953433245.

54233435998080 is a `hidden beast` number, since 5 + 4 + 2 + 3 + 34 + 3 + 599 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 54233435997999 and 54233435998017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54233435998081) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2613922 + ... + 10737758.

Almost surely, 2^{54233435998080} 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 54233435998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100181545448400).

54233435998080 is an abundant number, since it is smaller than the sum of its proper divisors (146129654898720).

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

54233435998080 is a wasteful number, since it uses less digits than its factorization.

54233435998080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8123942 (or 8123927 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 54233435998080 in words is "fifty-four trillion, two hundred thirty-three billion, four hundred thirty-five million, nine hundred ninety-eight thousand, eighty".