55816440818688 has 792 divisors, whose sum is σ = 179181560048400. Its totient is φ = 16721460264960.

The previous prime is 55816440818651. The next prime is 55816440818701. The reversal of 55816440818688 is 88681804461855.

55816440818688 is a `hidden beast` number, since 5 + 5 + 8 + 1 + 64 + 408 + 1 + 86 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45416143258 + ... + 45416144486.

Almost surely, 2^{55816440818688} 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 55816440818688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89590780024200).

55816440818688 is an abundant number, since it is smaller than the sum of its proper divisors (123365119229712).

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

55816440818688 is a wasteful number, since it uses less digits than its factorization.

55816440818688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 471859200, while the sum is 72.

The spelling of 55816440818688 in words is "fifty-five trillion, eight hundred sixteen billion, four hundred forty million, eight hundred eighteen thousand, six hundred eighty-eight".