5008000896 has 384 divisors, whose sum is σ = 16108035840. Its totient is φ = 1486356480.

The previous prime is 5008000861. The next prime is 5008000903. The reversal of 5008000896 is 6980008005.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5008000896.

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, 44318536 + ... + 44318648.

It is an arithmetic number, because the mean of its divisors is an integer number (41948010).

Almost surely, 2^5008000896 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 5008000896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8054017920).

5008000896 is an abundant number, since it is smaller than the sum of its proper divisors (11100034944).

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

5008000896 is a wasteful number, since it uses less digits than its factorization.

5008000896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 5008000896 is about 70767.2303824305. The cubic root of 5008000896 is about 1710.8875499207.

The spelling of 5008000896 in words is "five billion, eight million, eight hundred ninety-six", and thus it is an aban number.