5586916414464 has 2112 divisors, whose sum is σ = 21777931468800. Its totient is φ = 1365590016000.

The previous prime is 5586916414427. The next prime is 5586916414477. The reversal of 5586916414464 is 4644146196855.

5586916414464 is a `hidden beast` number, since 5 + 5 + 8 + 6 + 9 + 164 + 1 + 4 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76533101532 + ... + 76533101604.

Almost surely, 2^{5586916414464} 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 5586916414464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10888965734400).

5586916414464 is an abundant number, since it is smaller than the sum of its proper divisors (16191015054336).

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

5586916414464 is a wasteful number, since it uses less digits than its factorization.

5586916414464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 198 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

It can be divided in two parts, 5586916 and 414464, that added together give a triangular number (6001380 = T₃₄₆₄).

The spelling of 5586916414464 in words is "five trillion, five hundred eighty-six billion, nine hundred sixteen million, four hundred fourteen thousand, four hundred sixty-four".