51439199760 has 240 divisors, whose sum is σ = 196982486064. Its totient is φ = 11917099008.

The previous prime is 51439199731. The next prime is 51439199839. The reversal of 51439199760 is 6799193415.

51439199760 is a `hidden beast` number, since 51 + 439 + 1 + 99 + 76 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5005845504 + 46433354256 = 70752^2 + 215484^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 51439199697 and 51439199706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2517 + ... + 320756.

Almost surely, 2^51439199760 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 51439199760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98491243032).

51439199760 is an abundant number, since it is smaller than the sum of its proper divisors (145543286304).

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

51439199760 is a wasteful number, since it uses less digits than its factorization.

51439199760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323322 (or 323313 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 51439199760 in words is "fifty-one billion, four hundred thirty-nine million, one hundred ninety-nine thousand, seven hundred sixty".