51442101200 has 180 divisors, whose sum is σ = 143996682060. Its totient is φ = 17609195520.

The previous prime is 51442101181. The next prime is 51442101241. The reversal of 51442101200 is 210124415.

It is a happy number.

51442101200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 295564864 + 51146536336 = 17192^2 + 226156^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15070694 + ... + 15074106.

It is an arithmetic number, because the mean of its divisors is an integer number (799981567).

Almost surely, 2^51442101200 is an apocalyptic number.

51442101200 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 51442101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71998341030).

51442101200 is an abundant number, since it is smaller than the sum of its proper divisors (92554580860).

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

51442101200 is a wasteful number, since it uses less digits than its factorization.

51442101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4214 (or 4196 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 51442101200 its reverse (210124415), we get a palindrome (51652225615).

The spelling of 51442101200 in words is "fifty-one billion, four hundred forty-two million, one hundred one thousand, two hundred".