55408638626768 has 40 divisors (see below), whose sum is σ = 122691902364480. Its totient is φ = 23746299010560.

The previous prime is 55408638626767. The next prime is 55408638626779. The reversal of 55408638626768 is 86762683680455.

It is a happy number.

It is a super-3 number, since 3×55408638626768³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 55408638626695 and 55408638626704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55408638626767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7725128 + ... + 13057368.

It is an arithmetic number, because the mean of its divisors is an integer number (3067297559112).

Almost surely, 2^{55408638626768} is an apocalyptic number.

It is an amenable number.

55408638626768 is an abundant number, since it is smaller than the sum of its proper divisors (67283263737712).

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

55408638626768 is a wasteful number, since it uses less digits than its factorization.

55408638626768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5425035 (or 5425029 counting only the distinct ones).

The product of its (nonzero) digits is 2786918400, while the sum is 74.

The spelling of 55408638626768 in words is "fifty-five trillion, four hundred eight billion, six hundred thirty-eight million, six hundred twenty-six thousand, seven hundred sixty-eight".