5000971989600 has 288 divisors, whose sum is σ = 18208248660000. Its totient is φ = 1324641392640.

The previous prime is 5000971989599. The next prime is 5000971989617. The reversal of 5000971989600 is 69891790005.

5000971989600 is a `hidden beast` number, since 500 + 0 + 9 + 71 + 9 + 8 + 9 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2441466 + ... + 3995334.

It is an arithmetic number, because the mean of its divisors is an integer number (63223085625).

Almost surely, 2^{5000971989600} is an apocalyptic number.

5000971989600 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 5000971989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9104124330000).

5000971989600 is an abundant number, since it is smaller than the sum of its proper divisors (13207276670400).

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

5000971989600 is a wasteful number, since it uses less digits than its factorization.

5000971989600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554047 (or 1554028 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 5000971989600 in words is "five trillion, nine hundred seventy-one million, nine hundred eighty-nine thousand, six hundred".