55267491771648 has 1728 divisors, whose sum is σ = 190660111649280. Its totient is φ = 15241693888512.

The previous prime is 55267491771643. The next prime is 55267491771677. The reversal of 55267491771648 is 84617719476255.

55267491771648 is a `hidden beast` number, since 5 + 5 + 2 + 6 + 7 + 491 + 7 + 71 + 64 + 8 = 666.

55267491771648 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55267491771643) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 163998491736 + ... + 163998492072.

It is an arithmetic number, because the mean of its divisors is an integer number (110335712760).

Almost surely, 2^{55267491771648} 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 55267491771648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95330055824640).

55267491771648 is an abundant number, since it is smaller than the sum of its proper divisors (135392619877632).

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

55267491771648 is a wasteful number, since it uses less digits than its factorization.

55267491771648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 587 counting only the distinct ones).

The product of its digits is 711244800, while the sum is 72.

The spelling of 55267491771648 in words is "fifty-five trillion, two hundred sixty-seven billion, four hundred ninety-one million, seven hundred seventy-one thousand, six hundred forty-eight".