5351100010000 has 200 divisors, whose sum is σ = 13417218084600. Its totient is φ = 2064330240000.

The previous prime is 5351100009967. The next prime is 5351100010033. The reversal of 5351100010000 is 100011535.

It is an interprime number because it is at equal distance from previous prime (5351100009967) and next prime (5351100010033).

It can be written as a sum of positive squares in 20 ways, for example, as 3874787528704 + 1476312481296 = 1968448^2 + 1215036^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 272880196 + ... + 272899804.

It is an arithmetic number, because the mean of its divisors is an integer number (67086090423).

Almost surely, 2^{5351100010000} is an apocalyptic number.

5351100010000 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 5351100010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6708609042300).

5351100010000 is an abundant number, since it is smaller than the sum of its proper divisors (8066118074600).

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

5351100010000 is a wasteful number, since it uses less digits than its factorization.

5351100010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20607 (or 20586 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 16.

Adding to 5351100010000 its reverse (100011535), we get a palindrome (5351200021535).

The spelling of 5351100010000 in words is "five trillion, three hundred fifty-one billion, one hundred million, ten thousand".