51228144254200 has 96 divisors (see below), whose sum is σ = 120510383270400. Its totient is φ = 20250801930240.

The previous prime is 51228144254159. The next prime is 51228144254257. The reversal of 51228144254200 is 245244182215.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2603956 + ... + 10451644.

It is an arithmetic number, because the mean of its divisors is an integer number (1255316492400).

Almost surely, 2^{51228144254200} is an apocalyptic number.

51228144254200 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 51228144254200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60255191635200).

51228144254200 is an abundant number, since it is smaller than the sum of its proper divisors (69282239016200).

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

51228144254200 is a wasteful number, since it uses less digits than its factorization.

51228144254200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7848089 (or 7848080 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 40.

The spelling of 51228144254200 in words is "fifty-one trillion, two hundred twenty-eight billion, one hundred forty-four million, two hundred fifty-four thousand, two hundred".