5009647104000 has 1872 divisors, whose sum is σ = 22928842980576. Its totient is φ = 1040449536000.

The previous prime is 5009647103977. The next prime is 5009647104031. The reversal of 5009647104000 is 4017469005.

5009647104000 is a `hidden beast` number, since 5 + 0 + 0 + 9 + 647 + 1 + 0 + 4 + 0 + 0 + 0 = 666.

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, 2483710992 + ... + 2483713008.

It is an arithmetic number, because the mean of its divisors is an integer number (12248313558).

Almost surely, 2^{5009647104000} is an apocalyptic number.

5009647104000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5009647104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11464421490288).

5009647104000 is an abundant number, since it is smaller than the sum of its proper divisors (17919195876576).

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

5009647104000 is a wasteful number, since it uses less digits than its factorization.

5009647104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 5009647104000 in words is "five trillion, nine billion, six hundred forty-seven million, one hundred four thousand".