51293808000 has 768 divisors, whose sum is σ = 194361897600. Its totient is φ = 12945408000.

The previous prime is 51293807993. The next prime is 51293808001. The reversal of 51293808000 is 80839215.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51293808001) 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 95 ways as a sum of consecutive naturals, for example, 296495914 + ... + 296496086.

Almost surely, 2^51293808000 is an apocalyptic number.

51293808000 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 51293808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97180948800).

51293808000 is an abundant number, since it is smaller than the sum of its proper divisors (143068089600).

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

51293808000 is a wasteful number, since it uses less digits than its factorization.

51293808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 51293808000 in words is "fifty-one billion, two hundred ninety-three million, eight hundred eight thousand".