54085547027232 has 384 divisors, whose sum is σ = 186619635417600. Its totient is φ = 14910731071488.

The previous prime is 54085547027177. The next prime is 54085547027257. The reversal of 54085547027232 is 23272074558045.

54085547027232 is a `hidden beast` number, since 5 + 40 + 8 + 5 + 547 + 0 + 27 + 2 + 32 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 280004478 + ... + 280197570.

It is an arithmetic number, because the mean of its divisors is an integer number (485988633900).

Almost surely, 2^{54085547027232} 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 54085547027232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93309817708800).

54085547027232 is an abundant number, since it is smaller than the sum of its proper divisors (132534088390368).

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

54085547027232 is a wasteful number, since it uses less digits than its factorization.

54085547027232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194745 (or 194731 counting only the distinct ones).

The product of its (nonzero) digits is 18816000, while the sum is 54.

The spelling of 54085547027232 in words is "fifty-four trillion, eighty-five billion, five hundred forty-seven million, twenty-seven thousand, two hundred thirty-two".