54383827680 has 1152 divisors, whose sum is σ = 249646924800. Its totient is φ = 10857037824.

The previous prime is 54383827607. The next prime is 54383827703. The reversal of 54383827680 is 8672838345.

54383827680 is a `hidden beast` number, since 543 + 8 + 38 + 2 + 7 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 67223116 + ... + 67223924.

It is an arithmetic number, because the mean of its divisors is an integer number (216707400).

Almost surely, 2^54383827680 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 54383827680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124823462400).

54383827680 is an abundant number, since it is smaller than the sum of its proper divisors (195263097120).

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

54383827680 is a wasteful number, since it uses less digits than its factorization.

54383827680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 54383827680 in words is "fifty-four billion, three hundred eighty-three million, eight hundred twenty-seven thousand, six hundred eighty".