5008615920 has 720 divisors, whose sum is σ = 21734608896. Its totient is φ = 1011225600.

The previous prime is 5008615919. The next prime is 5008615933. The reversal of 5008615920 is 295168005.

It is a happy number.

5008615920 is a `hidden beast` number, since 5 + 0 + 0 + 8 + 61 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26223025 + ... + 26223215.

Almost surely, 2^5008615920 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 5008615920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10867304448).

5008615920 is an abundant number, since it is smaller than the sum of its proper divisors (16725992976).

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

5008615920 is a wasteful number, since it uses less digits than its factorization.

5008615920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 5008615920 is about 70771.5756501154. The cubic root of 5008615920 is about 1710.9575841090.

The spelling of 5008615920 in words is "five billion, eight million, six hundred fifteen thousand, nine hundred twenty".