51133441200 has 240 divisors, whose sum is σ = 165395726496. Its totient is φ = 13503283200.

The previous prime is 51133441187. The next prime is 51133441237. The reversal of 51133441200 is 214433115.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×51133441200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86228104 + ... + 86228696.

Almost surely, 2^51133441200 is an apocalyptic number.

51133441200 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 51133441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82697863248).

51133441200 is an abundant number, since it is smaller than the sum of its proper divisors (114262285296).

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

51133441200 is a wasteful number, since it uses less digits than its factorization.

51133441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 51133441200 its reverse (214433115), we get a palindrome (51347874315).

The spelling of 51133441200 in words is "fifty-one billion, one hundred thirty-three million, four hundred forty-one thousand, two hundred".