51006863376 has 640 divisors, whose sum is σ = 186673766400. Its totient is φ = 12992348160.

The previous prime is 51006863371. The next prime is 51006863407. The reversal of 51006863376 is 67336860015.

51006863376 is a `hidden beast` number, since 5 + 1 + 0 + 0 + 6 + 8 + 633 + 7 + 6 = 666.

It is a super-2 number, since 2×51006863376² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51006863371) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 211646616 + ... + 211646856.

It is an arithmetic number, because the mean of its divisors is an integer number (291677760).

Almost surely, 2^51006863376 is an apocalyptic number.

51006863376 is a gapful number since it is divisible by the number (56) 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 51006863376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93336883200).

51006863376 is an abundant number, since it is smaller than the sum of its proper divisors (135666903024).

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

51006863376 is a wasteful number, since it uses less digits than its factorization.

51006863376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 51006863376 in words is "fifty-one billion, six million, eight hundred sixty-three thousand, three hundred seventy-six".