5584950616896 has 336 divisors, whose sum is σ = 19117622684160. Its totient is φ = 1583515215360.

The previous prime is 5584950616853. The next prime is 5584950616937. The reversal of 5584950616896 is 6986160594855.

It is a happy number.

5584950616896 is a `hidden beast` number, since 5 + 58 + 4 + 9 + 506 + 1 + 68 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14065375 + ... + 14456993.

It is an arithmetic number, because the mean of its divisors is an integer number (56897686560).

Almost surely, 2^{5584950616896} is an apocalyptic number.

5584950616896 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 5584950616896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9558811342080).

5584950616896 is an abundant number, since it is smaller than the sum of its proper divisors (13532672067264).

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

5584950616896 is a wasteful number, since it uses less digits than its factorization.

5584950616896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391784 (or 391762 counting only the distinct ones).

The product of its (nonzero) digits is 559872000, while the sum is 72.

The spelling of 5584950616896 in words is "five trillion, five hundred eighty-four billion, nine hundred fifty million, six hundred sixteen thousand, eight hundred ninety-six".