5109144297600 has 384 divisors, whose sum is σ = 19258917350400. Its totient is φ = 1166186926080.

The previous prime is 5109144297581. The next prime is 5109144297611. The reversal of 5109144297600 is 67924419015.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5109144297600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5109144297600.

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, 48802111 + ... + 48906689.

It is an arithmetic number, because the mean of its divisors is an integer number (50153430600).

Almost surely, 2^{5109144297600} is an apocalyptic number.

5109144297600 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 5109144297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9629458675200).

5109144297600 is an abundant number, since it is smaller than the sum of its proper divisors (14149773052800).

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

5109144297600 is a wasteful number, since it uses less digits than its factorization.

5109144297600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105340 (or 105323 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 5109144297600 in words is "five trillion, one hundred nine billion, one hundred forty-four million, two hundred ninety-seven thousand, six hundred".