51617116200 has 96 divisors (see below), whose sum is σ = 172321783200. Its totient is φ = 12705749760.

The previous prime is 51617116181. The next prime is 51617116217. The reversal of 51617116200 is 261171615.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3300990 + ... + 3316589.

It is an arithmetic number, because the mean of its divisors is an integer number (1795018575).

Almost surely, 2^51617116200 is an apocalyptic number.

51617116200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51617116200 is an abundant number, since it is smaller than the sum of its proper divisors (120704667000).

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

51617116200 is a wasteful number, since it uses less digits than its factorization.

51617116200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6617611 (or 6617602 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

Adding to 51617116200 its reverse (261171615), we get a palindrome (51878287815).

The spelling of 51617116200 in words is "fifty-one billion, six hundred seventeen million, one hundred sixteen thousand, two hundred".