51199948800 has 2304 divisors, whose sum is σ = 259333401600. Its totient is φ = 9555148800.

The previous prime is 51199948771. The next prime is 51199948853. The reversal of 51199948800 is 884999115.

51199948800 is a `hidden beast` number, since 511 + 9 + 9 + 9 + 48 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1383782382 + ... + 1383782418.

It is an arithmetic number, because the mean of its divisors is an integer number (112557900).

Almost surely, 2^51199948800 is an apocalyptic number.

51199948800 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 51199948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129666700800).

51199948800 is an abundant number, since it is smaller than the sum of its proper divisors (208133452800).

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

51199948800 is a wasteful number, since it uses less digits than its factorization.

51199948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

It can be divided in two parts, 51199 and 948800, that added together give a palindrome (999999).

The spelling of 51199948800 in words is "fifty-one billion, one hundred ninety-nine million, nine hundred forty-eight thousand, eight hundred".