5591412642816 has 2112 divisors, whose sum is σ = 23245366749696. Its totient is φ = 1245708288000.

The previous prime is 5591412642811. The next prime is 5591412642887. The reversal of 5591412642816 is 6182462141955.

It is a happy number.

5591412642816 is a `hidden beast` number, since 5 + 5 + 91 + 4 + 126 + 428 + 1 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5591412642811) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15839695696 + ... + 15839696048.

Almost surely, 2^{5591412642816} is an apocalyptic number.

5591412642816 is a gapful number since it is divisible by the number (56) 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 5591412642816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11622683374848).

5591412642816 is an abundant number, since it is smaller than the sum of its proper divisors (17653954106880).

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

5591412642816 is a wasteful number, since it uses less digits than its factorization.

5591412642816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 507 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 5591412642816 in words is "five trillion, five hundred ninety-one billion, four hundred twelve million, six hundred forty-two thousand, eight hundred sixteen".