55121506344 has 320 divisors, whose sum is σ = 162529068240. Its totient is φ = 17438146560.

The previous prime is 55121506331. The next prime is 55121506351. The reversal of 55121506344 is 44360512155.

55121506344 is a `hidden beast` number, since 5 + 5 + 1 + 2 + 15 + 0 + 634 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 27668330244 + 27453176100 = 166338^2 + 165690^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55121506299 and 55121506308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 188127862 + ... + 188128154.

Almost surely, 2^55121506344 is an apocalyptic number.

55121506344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55121506344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81264534120).

55121506344 is an abundant number, since it is smaller than the sum of its proper divisors (107407561896).

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

55121506344 is a wasteful number, since it uses less digits than its factorization.

55121506344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 55121506344 in words is "fifty-five billion, one hundred twenty-one million, five hundred six thousand, three hundred forty-four".