5008900628160 has 1680 divisors, whose sum is σ = 21589118953248. Its totient is φ = 1094422855680.

The previous prime is 5008900628159. The next prime is 5008900628167. The reversal of 5008900628160 is 618260098005.

5008900628160 is a `hidden beast` number, since 5 + 0 + 0 + 8 + 9 + 0 + 0 + 628 + 16 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (5008900628167) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1753201452 + ... + 1753204308.

Almost surely, 2^{5008900628160} 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 5008900628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10794559476624).

5008900628160 is an abundant number, since it is smaller than the sum of its proper divisors (16580218325088).

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

5008900628160 is a wasteful number, since it uses less digits than its factorization.

5008900628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 5008900628160 in words is "five trillion, eight billion, nine hundred million, six hundred twenty-eight thousand, one hundred sixty".