55567567541808 has 720 divisors, whose sum is σ = 191958887178240. Its totient is φ = 15242414423040.

The previous prime is 55567567541797. The next prime is 55567567541813. The reversal of 55567567541808 is 80814576576555.

It is a happy number.

55567567541808 is a `hidden beast` number, since 5 + 5 + 5 + 6 + 7 + 567 + 54 + 1 + 8 + 0 + 8 = 666.

55567567541808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3321622788 + ... + 3321639516.

Almost surely, 2^{55567567541808} 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 55567567541808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95979443589120).

55567567541808 is an abundant number, since it is smaller than the sum of its proper divisors (136391319636432).

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

55567567541808 is a wasteful number, since it uses less digits than its factorization.

55567567541808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16948 (or 16899 counting only the distinct ones).

The product of its (nonzero) digits is 1411200000, while the sum is 72.

The spelling of 55567567541808 in words is "fifty-five trillion, five hundred sixty-seven billion, five hundred sixty-seven million, five hundred forty-one thousand, eight hundred eight".