55549086628224 has 768 divisors, whose sum is σ = 187136071372800. Its totient is φ = 14271799787520.

The previous prime is 55549086628223. The next prime is 55549086628271. The reversal of 55549086628224 is 42282668094555.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55549086628223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28069269667 + ... + 28069271645.

It is an arithmetic number, because the mean of its divisors is an integer number (243666759600).

Almost surely, 2^{55549086628224} 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 55549086628224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93568035686400).

55549086628224 is an abundant number, since it is smaller than the sum of its proper divisors (131586984744576).

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

55549086628224 is a wasteful number, since it uses less digits than its factorization.

55549086628224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631 (or 3602 counting only the distinct ones).

The product of its (nonzero) digits is 331776000, while the sum is 66.

The spelling of 55549086628224 in words is "fifty-five trillion, five hundred forty-nine billion, eighty-six million, six hundred twenty-eight thousand, two hundred twenty-four".