55122657408 has 768 divisors, whose sum is σ = 207201657600. Its totient is φ = 14338695168.

The previous prime is 55122657391. The next prime is 55122657413. The reversal of 55122657408 is 80475622155.

55122657408 is a `hidden beast` number, since 5 + 51 + 2 + 26 + 574 + 0 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 755104860 + ... + 755104932.

It is an arithmetic number, because the mean of its divisors is an integer number (269793825).

Almost surely, 2^55122657408 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 55122657408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103600828800).

55122657408 is an abundant number, since it is smaller than the sum of its proper divisors (152079000192).

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

55122657408 is an frugal number, since it uses more digits than its factorization.

55122657408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 55122657408 in words is "fifty-five billion, one hundred twenty-two million, six hundred fifty-seven thousand, four hundred eight".