55505107627776 has 432 divisors, whose sum is σ = 169233990962400. Its totient is φ = 17469709221888.

The previous prime is 55505107627771. The next prime is 55505107627789. The reversal of 55505107627776 is 67772670150555.

55505107627776 is a `hidden beast` number, since 5 + 5 + 50 + 510 + 7 + 62 + 7 + 7 + 7 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55505107627771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 760797316 + ... + 760870268.

It is an arithmetic number, because the mean of its divisors is an integer number (391745349450).

Almost surely, 2^{55505107627776} 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 55505107627776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84616995481200).

55505107627776 is an abundant number, since it is smaller than the sum of its proper divisors (113728883334624).

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

55505107627776 is a wasteful number, since it uses less digits than its factorization.

55505107627776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73256 (or 73239 counting only the distinct ones).

The product of its (nonzero) digits is 108045000, while the sum is 63.

The spelling of 55505107627776 in words is "fifty-five trillion, five hundred five billion, one hundred seven million, six hundred twenty-seven thousand, seven hundred seventy-six".