5109791037120 has 1344 divisors, whose sum is σ = 23242233830400. Its totient is φ = 997557534720.

The previous prime is 5109791037083. The next prime is 5109791037149. The reversal of 5109791037120 is 217301979015.

It is a happy number.

5109791037120 is a `hidden beast` number, since 510 + 9 + 7 + 9 + 1 + 0 + 3 + 7 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×5109791037120² (a number of 26 digits) contains 22 as substring.

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

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, 3502254951 + ... + 3502256409.

Almost surely, 2^{5109791037120} 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 5109791037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11621116915200).

5109791037120 is an abundant number, since it is smaller than the sum of its proper divisors (18132442793280).

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

5109791037120 is a wasteful number, since it uses less digits than its factorization.

5109791037120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The spelling of 5109791037120 in words is "five trillion, one hundred nine billion, seven hundred ninety-one million, thirty-seven thousand, one hundred twenty".