5506429167360 has 1728 divisors, whose sum is σ = 23968369152000. Its totient is φ = 1148953559040.

The previous prime is 5506429167353. The next prime is 5506429167409. The reversal of 5506429167360 is 637619246055.

5506429167360 is a `hidden beast` number, since 5 + 50 + 6 + 429 + 167 + 3 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5506429167297 and 5506429167306.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 1186983921 + ... + 1186988559.

It is an arithmetic number, because the mean of its divisors is an integer number (13870584000).

Almost surely, 2^{5506429167360} 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 5506429167360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11984184576000).

5506429167360 is an abundant number, since it is smaller than the sum of its proper divisors (18461939984640).

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

5506429167360 is a wasteful number, since it uses less digits than its factorization.

5506429167360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4742 (or 4725 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 5506429167360 in words is "five trillion, five hundred six billion, four hundred twenty-nine million, one hundred sixty-seven thousand, three hundred sixty".