5009709600000 has 1728 divisors, whose sum is σ = 22418690112000. Its totient is φ = 1077166080000.

The previous prime is 5009709599969. The next prime is 5009709600029. The reversal of 5009709600000 is 69079005.

5009709600000 is a `hidden beast` number, since 500 + 97 + 0 + 9 + 60 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 2570399026 + ... + 2570400974.

It is an arithmetic number, because the mean of its divisors is an integer number (12973779000).

Almost surely, 2^{5009709600000} is an apocalyptic number.

5009709600000 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 5009709600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11209345056000).

5009709600000 is an abundant number, since it is smaller than the sum of its proper divisors (17408980512000).

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

5009709600000 is an equidigital number, since it uses as much as digits as its factorization.

5009709600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The spelling of 5009709600000 in words is "five trillion, nine billion, seven hundred nine million, six hundred thousand".