55549711077120 has 1152 divisors, whose sum is σ = 234548823398400. Its totient is φ = 12309855731712.

The previous prime is 55549711077059. The next prime is 55549711077163. The reversal of 55549711077120 is 2177011794555.

It is a happy number.

55549711077120 is a `hidden beast` number, since 5 + 5 + 549 + 7 + 1 + 1 + 0 + 7 + 71 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 175510371 + ... + 175826589.

It is an arithmetic number, because the mean of its divisors is an integer number (203601409200).

Almost surely, 2^{55549711077120} 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 55549711077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117274411699200).

55549711077120 is an abundant number, since it is smaller than the sum of its proper divisors (178999112321280).

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

55549711077120 is a wasteful number, since it uses less digits than its factorization.

55549711077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316302 (or 316282 counting only the distinct ones).

The product of its (nonzero) digits is 3087000, while the sum is 54.

The spelling of 55549711077120 in words is "fifty-five trillion, five hundred forty-nine billion, seven hundred eleven million, seventy-seven thousand, one hundred twenty".