55506711008664 has 288 divisors, whose sum is σ = 157021996154400. Its totient is φ = 18393844331520.

The previous prime is 55506711008633. The next prime is 55506711008677. The reversal of 55506711008664 is 46680011760555.

55506711008664 is a `hidden beast` number, since 5 + 5 + 506 + 71 + 1 + 0 + 0 + 8 + 6 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 55506711008664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6350151334 + ... + 6350160074.

It is an arithmetic number, because the mean of its divisors is an integer number (545215264425).

Almost surely, 2^{55506711008664} is an apocalyptic number.

55506711008664 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 55506711008664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78510998077200).

55506711008664 is an abundant number, since it is smaller than the sum of its proper divisors (101515285145736).

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

55506711008664 is an equidigital number, since it uses as much as digits as its factorization.

55506711008664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9467 (or 9442 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 55506711008664 in words is "fifty-five trillion, five hundred six billion, seven hundred eleven million, eight thousand, six hundred sixty-four".