5505965212608 has 588 divisors, whose sum is σ = 20176938423792. Its totient is φ = 1480585236480.

The previous prime is 5505965212549. The next prime is 5505965212609. The reversal of 5505965212608 is 8062125695055.

It is a happy number.

5505965212608 is a `hidden beast` number, since 5 + 5 + 0 + 5 + 9 + 6 + 5 + 21 + 2 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (588).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5505965212609) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 38793613 + ... + 38935283.

Almost surely, 2^{5505965212608} 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 5505965212608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10088469211896).

5505965212608 is an abundant number, since it is smaller than the sum of its proper divisors (14670973211184).

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

5505965212608 is a wasteful number, since it uses less digits than its factorization.

5505965212608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141732 (or 141700 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 5505965212608 in words is "five trillion, five hundred five billion, nine hundred sixty-five million, two hundred twelve thousand, six hundred eight".