55838193835776 has 288 divisors, whose sum is σ = 164881992877056. Its totient is φ = 16632858624000.

The previous prime is 55838193835757. The next prime is 55838193835799. The reversal of 55838193835776 is 67753839183855.

55838193835776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 843558841 + ... + 843625031.

It is an arithmetic number, because the mean of its divisors is an integer number (572506919712).

Almost surely, 2^{55838193835776} 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 55838193835776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82440996438528).

55838193835776 is an abundant number, since it is smaller than the sum of its proper divisors (109043799041280).

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

55838193835776 is a wasteful number, since it uses less digits than its factorization.

55838193835776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67919 (or 67905 counting only the distinct ones).

The product of its digits is 4572288000, while the sum is 78.

The spelling of 55838193835776 in words is "fifty-five trillion, eight hundred thirty-eight billion, one hundred ninety-three million, eight hundred thirty-five thousand, seven hundred seventy-six".