5516670184704 has 576 divisors, whose sum is σ = 18930232921600. Its totient is φ = 1552090595328.

The previous prime is 5516670184703. The next prime is 5516670184709. The reversal of 5516670184704 is 4074810766155.

5516670184704 is a `hidden beast` number, since 5 + 5 + 166 + 7 + 0 + 1 + 8 + 470 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (5516670184703) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3860510262 + ... + 3860511690.

Almost surely, 2^{5516670184704} is an apocalyptic number.

5516670184704 is a gapful number since it is divisible by the number (54) 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 5516670184704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9465116460800).

5516670184704 is an abundant number, since it is smaller than the sum of its proper divisors (13413562736896).

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

5516670184704 is a wasteful number, since it uses less digits than its factorization.

5516670184704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 5516670184704 in words is "five trillion, five hundred sixteen billion, six hundred seventy million, one hundred eighty-four thousand, seven hundred four".