51296716800 has 1728 divisors, whose sum is σ = 236584857600. Its totient is φ = 10749542400.

The previous prime is 51296716789. The next prime is 51296716837. The reversal of 51296716800 is 861769215.

51296716800 is a `hidden beast` number, since 512 + 9 + 6 + 71 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1654732785 + ... + 1654732815.

Almost surely, 2^51296716800 is an apocalyptic number.

51296716800 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 51296716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118292428800).

51296716800 is an abundant number, since it is smaller than the sum of its proper divisors (185288140800).

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

51296716800 is a wasteful number, since it uses less digits than its factorization.

51296716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 51296716800 in words is "fifty-one billion, two hundred ninety-six million, seven hundred sixteen thousand, eight hundred".