51126828984 has 768 divisors, whose sum is σ = 194088960000. Its totient is φ = 11751505920.

The previous prime is 51126828983. The next prime is 51126829001. The reversal of 51126828984 is 48982862115.

51126828984 is a `hidden beast` number, since 511 + 26 + 8 + 28 + 9 + 84 = 666.

It is a super-2 number, since 2×51126828984² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51126828984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51126828983) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113867992 + ... + 113868440.

It is an arithmetic number, because the mean of its divisors is an integer number (252720000).

Almost surely, 2^51126828984 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 51126828984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97044480000).

51126828984 is an abundant number, since it is smaller than the sum of its proper divisors (142962131016).

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

51126828984 is a wasteful number, since it uses less digits than its factorization.

51126828984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 561 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 51126828984 in words is "fifty-one billion, one hundred twenty-six million, eight hundred twenty-eight thousand, nine hundred eighty-four".