51265590768 has 200 divisors, whose sum is σ = 175422566880. Its totient is φ = 14142159360.

The previous prime is 51265590713. The next prime is 51265590773. The reversal of 51265590768 is 86709556215.

51265590768 is a `hidden beast` number, since 5 + 1 + 26 + 559 + 0 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 165658 + ... + 360518.

Almost surely, 2^51265590768 is an apocalyptic number.

51265590768 is a gapful number since it is divisible by the number (58) 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 51265590768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87711283440).

51265590768 is an abundant number, since it is smaller than the sum of its proper divisors (124156976112).

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

51265590768 is a wasteful number, since it uses less digits than its factorization.

51265590768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194917 (or 194902 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 51265590768 in words is "fifty-one billion, two hundred sixty-five million, five hundred ninety thousand, seven hundred sixty-eight".