55584661264704 has 3360 divisors, whose sum is σ = 216234549780480. Its totient is φ = 13967686656000.

The previous prime is 55584661264553. The next prime is 55584661264711. The reversal of 55584661264704 is 40746216648555.

55584661264704 is a `hidden beast` number, since 5 + 5 + 5 + 8 + 4 + 6 + 612 + 6 + 4 + 7 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 341010191727 + ... + 341010191889.

It is an arithmetic number, because the mean of its divisors is an integer number (64355520768).

Almost surely, 2^{55584661264704} is an apocalyptic number.

55584661264704 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 55584661264704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108117274890240).

55584661264704 is an abundant number, since it is smaller than the sum of its proper divisors (160649888515776).

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

55584661264704 is a wasteful number, since it uses less digits than its factorization.

55584661264704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 63.

The spelling of 55584661264704 in words is "fifty-five trillion, five hundred eighty-four billion, six hundred sixty-one million, two hundred sixty-four thousand, seven hundred four".