5477160117888 has 1536 divisors, whose sum is σ = 18887813280000. Its totient is φ = 1555100467200.

The previous prime is 5477160117829. The next prime is 5477160117911. The reversal of 5477160117888 is 8887110617745.

5477160117888 is a `hidden beast` number, since 5 + 4 + 7 + 7 + 1 + 601 + 17 + 8 + 8 + 8 = 666.

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 191 ways as a sum of consecutive naturals, for example, 75029590620 + ... + 75029590692.

Almost surely, 2^{5477160117888} is an apocalyptic number.

5477160117888 is a gapful number since it is divisible by the number (58) 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 5477160117888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9443906640000).

5477160117888 is an abundant number, since it is smaller than the sum of its proper divisors (13410653162112).

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

5477160117888 is a wasteful number, since it uses less digits than its factorization.

5477160117888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 21073920, while the sum is 63.

The spelling of 5477160117888 in words is "five trillion, four hundred seventy-seven billion, one hundred sixty million, one hundred seventeen thousand, eight hundred eighty-eight".