51160233600 has 576 divisors, whose sum is σ = 212929080000. Its totient is φ = 11691509760.

The previous prime is 51160233581. The next prime is 51160233601. The reversal of 51160233600 is 633206115.

51160233600 is a `hidden beast` number, since 51 + 1 + 6 + 0 + 2 + 3 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (51160233601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9875811 + ... + 9880989.

Almost surely, 2^51160233600 is an apocalyptic number.

51160233600 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 51160233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106464540000).

51160233600 is an abundant number, since it is smaller than the sum of its proper divisors (161768846400).

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

51160233600 is a wasteful number, since it uses less digits than its factorization.

51160233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5230 (or 5196 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 51160233600 its reverse (633206115), we get a palindrome (51793439715).

The spelling of 51160233600 in words is "fifty-one billion, one hundred sixty million, two hundred thirty-three thousand, six hundred".