55585640448 has 624 divisors, whose sum is σ = 189679969920. Its totient is φ = 15960637440.

The previous prime is 55585640423. The next prime is 55585640483. The reversal of 55585640448 is 84404658555.

55585640448 is a `hidden beast` number, since 5 + 558 + 5 + 6 + 40 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

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

It is a junction number, because it is equal to n+sod(n) for n = 55585640394 and 55585640403.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1355747308 + ... + 1355747348.

Almost surely, 2^55585640448 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 55585640448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94839984960).

55585640448 is an abundant number, since it is smaller than the sum of its proper divisors (134094329472).

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

55585640448 is a wasteful number, since it uses less digits than its factorization.

55585640448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 15360000, while the sum is 54.

The spelling of 55585640448 in words is "fifty-five billion, five hundred eighty-five million, six hundred forty thousand, four hundred forty-eight".