5008839413760 has 3328 divisors, whose sum is σ = 23954939904000. Its totient is φ = 968892088320.

The previous prime is 5008839413737. The next prime is 5008839413771. The reversal of 5008839413760 is 673149388005.

5008839413760 is a `hidden beast` number, since 50 + 0 + 88 + 39 + 413 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5008839413697 and 5008839413706.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 161575464945 + ... + 161575464975.

Almost surely, 2^{5008839413760} 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 5008839413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11977469952000).

5008839413760 is an abundant number, since it is smaller than the sum of its proper divisors (18946100490240).

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

5008839413760 is a wasteful number, since it uses less digits than its factorization.

5008839413760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 5008839413760 in words is "five trillion, eight billion, eight hundred thirty-nine million, four hundred thirteen thousand, seven hundred sixty".