5100109572096 has 1152 divisors, whose sum is σ = 19958167756800. Its totient is φ = 1214300160000.

The previous prime is 5100109572091. The next prime is 5100109572121. The reversal of 5100109572096 is 6902759010015.

5100109572096 is a `hidden beast` number, since 510 + 0 + 109 + 5 + 7 + 20 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×5100109572096² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5100109572091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 835943446 + ... + 835949546.

It is an arithmetic number, because the mean of its divisors is an integer number (17324798400).

Almost surely, 2^{5100109572096} is an apocalyptic number.

5100109572096 is a gapful number since it is divisible by the number (56) 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 5100109572096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9979083878400).

5100109572096 is an abundant number, since it is smaller than the sum of its proper divisors (14858058184704).

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

5100109572096 is a wasteful number, since it uses less digits than its factorization.

5100109572096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6197 (or 6174 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The spelling of 5100109572096 in words is "five trillion, one hundred billion, one hundred nine million, five hundred seventy-two thousand, ninety-six".