5008616363520 has 2400 divisors, whose sum is σ = 23341833589536. Its totient is φ = 1014438297600.

The previous prime is 5008616363519. The next prime is 5008616363549. The reversal of 5008616363520 is 253636168005.

5008616363520 is a `hidden beast` number, since 5 + 0 + 0 + 8 + 6 + 1 + 6 + 3 + 635 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4582448094 + ... + 4582449186.

Almost surely, 2^{5008616363520} 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 5008616363520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11670916794768).

5008616363520 is an abundant number, since it is smaller than the sum of its proper divisors (18333217226016).

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

5008616363520 is a wasteful number, since it uses less digits than its factorization.

5008616363520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 5008616363520 in words is "five trillion, eight billion, six hundred sixteen million, three hundred sixty-three thousand, five hundred twenty".