54056813184 has 320 divisors, whose sum is σ = 176673261600. Its totient is φ = 16271124480.

The previous prime is 54056813179. The next prime is 54056813203. The reversal of 54056813184 is 48131865045.

54056813184 is a `hidden beast` number, since 5 + 4 + 0 + 568 + 1 + 3 + 1 + 84 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17904027 + ... + 17907045.

Almost surely, 2^54056813184 is an apocalyptic number.

54056813184 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 54056813184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88336630800).

54056813184 is an abundant number, since it is smaller than the sum of its proper divisors (122616448416).

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

54056813184 is a wasteful number, since it uses less digits than its factorization.

54056813184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 54056813184 in words is "fifty-four billion, fifty-six million, eight hundred thirteen thousand, one hundred eighty-four".