54761827648 has 84 divisors (see below), whose sum is σ = 120885508800. Its totient is φ = 24591550720.

The previous prime is 54761827597. The next prime is 54761827649. The reversal of 54761827648 is 84672816745.

It is a junction number, because it is equal to n+sod(n) for n = 54761827592 and 54761827601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54761827649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 600153 + ... + 685351.

It is an arithmetic number, because the mean of its divisors is an integer number (1439113200).

Almost surely, 2^54761827648 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 54761827648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60442754400).

54761827648 is an abundant number, since it is smaller than the sum of its proper divisors (66123681152).

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

54761827648 is a wasteful number, since it uses less digits than its factorization.

54761827648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85316 (or 85295 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 58.

The spelling of 54761827648 in words is "fifty-four billion, seven hundred sixty-one million, eight hundred twenty-seven thousand, six hundred forty-eight".