55648419840 has 384 divisors, whose sum is σ = 207822494880. Its totient is φ = 13693353984.

The previous prime is 55648419821. The next prime is 55648419847. The reversal of 55648419840 is 4891484655.

55648419840 is a `hidden beast` number, since 556 + 4 + 8 + 4 + 1 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55648419847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19167829 + ... + 19170731.

Almost surely, 2^55648419840 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 55648419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103911247440).

55648419840 is an abundant number, since it is smaller than the sum of its proper divisors (152174075040).

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

55648419840 is a wasteful number, since it uses less digits than its factorization.

55648419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 55648419840 in words is "fifty-five billion, six hundred forty-eight million, four hundred nineteen thousand, eight hundred forty".