54181695744 has 360 divisors, whose sum is σ = 182347038720. Its totient is φ = 15850598400.

The previous prime is 54181695691. The next prime is 54181695779. The reversal of 54181695744 is 44759618145.

54181695744 is a `hidden beast` number, since 5 + 4 + 1 + 8 + 1 + 69 + 574 + 4 = 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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6610689 + ... + 6618879.

It is an arithmetic number, because the mean of its divisors is an integer number (506519552).

Almost surely, 2^54181695744 is an apocalyptic number.

54181695744 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54181695744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91173519360).

54181695744 is an abundant number, since it is smaller than the sum of its proper divisors (128165342976).

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

54181695744 is a wasteful number, since it uses less digits than its factorization.

54181695744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8259 (or 8236 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 54181695744 in words is "fifty-four billion, one hundred eighty-one million, six hundred ninety-five thousand, seven hundred forty-four".