51765143040 has 960 divisors, whose sum is σ = 206818387776. Its totient is φ = 12326141952.

The previous prime is 51765143033. The next prime is 51765143107. The reversal of 51765143040 is 4034156715.

51765143040 is a `hidden beast` number, since 5 + 1 + 76 + 514 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51765142986 and 51765143004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299220394 + ... + 299220566.

Almost surely, 2^51765143040 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 51765143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103409193888).

51765143040 is an abundant number, since it is smaller than the sum of its proper divisors (155053244736).

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

51765143040 is a wasteful number, since it uses less digits than its factorization.

51765143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 51765143040 its reverse (4034156715), we get a palindrome (55799299755).

The spelling of 51765143040 in words is "fifty-one billion, seven hundred sixty-five million, one hundred forty-three thousand, forty".