51132126276 has 216 divisors, whose sum is σ = 163981900992. Its totient is φ = 13148784000.

The previous prime is 51132126233. The next prime is 51132126391. The reversal of 51132126276 is 67262123115.

51132126276 is a `hidden beast` number, since 5 + 1 + 1 + 3 + 21 + 2 + 627 + 6 = 666.

It is a super-2 number, since 2×51132126276² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 51132126276.

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 71 ways as a sum of consecutive naturals, for example, 3071391 + ... + 3087993.

Almost surely, 2^51132126276 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 51132126276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81990950496).

51132126276 is an abundant number, since it is smaller than the sum of its proper divisors (112849774716).

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

51132126276 is a wasteful number, since it uses less digits than its factorization.

51132126276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16743 (or 16727 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The spelling of 51132126276 in words is "fifty-one billion, one hundred thirty-two million, one hundred twenty-six thousand, two hundred seventy-six".