51431433120 has 288 divisors, whose sum is σ = 181464034752. Its totient is φ = 13256441856.

The previous prime is 51431433101. The next prime is 51431433149. The reversal of 51431433120 is 2133413415.

It is a happy number.

51431433120 is a `hidden beast` number, since 5 + 14 + 314 + 331 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 6001959 + ... + 6010521.

It is an arithmetic number, because the mean of its divisors is an integer number (630083454).

Almost surely, 2^51431433120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51431433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90732017376).

51431433120 is an abundant number, since it is smaller than the sum of its proper divisors (130032601632).

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

51431433120 is a wasteful number, since it uses less digits than its factorization.

51431433120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8724 (or 8713 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 51431433120 its reverse (2133413415), we get a palindrome (53564846535).

The spelling of 51431433120 in words is "fifty-one billion, four hundred thirty-one million, four hundred thirty-three thousand, one hundred twenty".