51293798400 has 720 divisors, whose sum is σ = 193403940800. Its totient is φ = 11961630720.

The previous prime is 51293798399. The next prime is 51293798417. The reversal of 51293798400 is 489739215.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 51293798400.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2699673591 + ... + 2699673609.

Almost surely, 2^51293798400 is an apocalyptic number.

51293798400 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 51293798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96701970400).

51293798400 is an abundant number, since it is smaller than the sum of its proper divisors (142110142400).

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

51293798400 is an equidigital number, since it uses as much as digits as its factorization.

51293798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 51293798400 in words is "fifty-one billion, two hundred ninety-three million, seven hundred ninety-eight thousand, four hundred".