51128086464 has 756 divisors, whose sum is σ = 191917298664. Its totient is φ = 13450364928.

The previous prime is 51128086433. The next prime is 51128086489. The reversal of 51128086464 is 46468082115.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (756).

It is a super-2 number, since 2×51128086464² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 128785914 + ... + 128786310.

Almost surely, 2^51128086464 is an apocalyptic number.

51128086464 is a gapful number since it is divisible by the number (54) 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 51128086464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95958649332).

51128086464 is an abundant number, since it is smaller than the sum of its proper divisors (140789212200).

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

51128086464 is a wasteful number, since it uses less digits than its factorization.

51128086464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 51128086464 in words is "fifty-one billion, one hundred twenty-eight million, eighty-six thousand, four hundred sixty-four".