51144274800 has 300 divisors, whose sum is σ = 184119335400. Its totient is φ = 13596387840.

The previous prime is 51144274781. The next prime is 51144274823. The reversal of 51144274800 is 847244115.

It is a happy number.

51144274800 is a `hidden beast` number, since 511 + 44 + 27 + 4 + 80 + 0 = 666.

It is a Cunningham number, because it is equal to 226151²-1.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11305339 + ... + 11309861.

It is an arithmetic number, because the mean of its divisors is an integer number (613731118).

Almost surely, 2^51144274800 is an apocalyptic number.

51144274800 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 51144274800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92059667700).

51144274800 is an abundant number, since it is smaller than the sum of its proper divisors (132975060600).

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

51144274800 is a wasteful number, since it uses less digits than its factorization.

51144274800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4902 (or 4882 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 51144274800 in words is "fifty-one billion, one hundred forty-four million, two hundred seventy-four thousand, eight hundred".