5005421519616 has 864 divisors, whose sum is σ = 18032754055680. Its totient is φ = 1362953281536.

The previous prime is 5005421519573. The next prime is 5005421519633. The reversal of 5005421519616 is 6169151245005.

5005421519616 is a `hidden beast` number, since 5 + 0 + 0 + 5 + 4 + 2 + 15 + 19 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×5005421519616³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2469373195 + ... + 2469375221.

It is an arithmetic number, because the mean of its divisors is an integer number (20871243120).

Almost surely, 2^{5005421519616} is an apocalyptic number.

5005421519616 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 5005421519616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9016377027840).

5005421519616 is an abundant number, since it is smaller than the sum of its proper divisors (13027332536064).

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

5005421519616 is a wasteful number, since it uses less digits than its factorization.

5005421519616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 5005421519616 in words is "five trillion, five billion, four hundred twenty-one million, five hundred nineteen thousand, six hundred sixteen".