54658753344 has 420 divisors, whose sum is σ = 177672331980. Its totient is φ = 16605388800.

The previous prime is 54658753337. The next prime is 54658753381. The reversal of 54658753344 is 44335785645.

54658753344 is a `hidden beast` number, since 5 + 4 + 6 + 587 + 53 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6561000000 + 48097753344 = 81000^2 + 219312^2 .

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

Its product of digits (24192000) is a multiple of the sum of its prime factors (840).

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 59 ways as a sum of consecutive naturals, for example, 77972194 + ... + 77972894.

Almost surely, 2^54658753344 is an apocalyptic number.

54658753344 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 54658753344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88836165990).

54658753344 is an abundant number, since it is smaller than the sum of its proper divisors (123013578636).

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

54658753344 is a wasteful number, since it uses less digits than its factorization.

54658753344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 808 counting only the distinct ones).

The product of its digits is 24192000, while the sum is 54.

The spelling of 54658753344 in words is "fifty-four billion, six hundred fifty-eight million, seven hundred fifty-three thousand, three hundred forty-four".