5112766113200 has 120 divisors (see below), whose sum is σ = 12335978519760. Its totient is φ = 2036366438400.

The previous prime is 5112766113187. The next prime is 5112766113211. The reversal of 5112766113200 is 23116672115.

It is a happy number.

It is a super-2 number, since 2×5112766113200² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163976012 + ... + 164007188.

It is an arithmetic number, because the mean of its divisors is an integer number (102799820998).

Almost surely, 2^{5112766113200} is an apocalyptic number.

5112766113200 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 5112766113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6167989259880).

5112766113200 is an abundant number, since it is smaller than the sum of its proper divisors (7223212406560).

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

5112766113200 is a wasteful number, since it uses less digits than its factorization.

5112766113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32935 (or 32924 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The spelling of 5112766113200 in words is "five trillion, one hundred twelve billion, seven hundred sixty-six million, one hundred thirteen thousand, two hundred".