51128715456 has 896 divisors, whose sum is σ = 197770496000. Its totient is φ = 12576964608.

The previous prime is 51128715439. The next prime is 51128715479. The reversal of 51128715456 is 65451782115.

51128715456 is a `hidden beast` number, since 5 + 1 + 128 + 71 + 5 + 456 = 666.

It is a super-2 number, since 2×51128715456² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 325660530 + ... + 325660686.

It is an arithmetic number, because the mean of its divisors is an integer number (220726000).

Almost surely, 2^51128715456 is an apocalyptic number.

51128715456 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 51128715456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98885248000).

51128715456 is an abundant number, since it is smaller than the sum of its proper divisors (146641780544).

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

51128715456 is a wasteful number, since it uses less digits than its factorization.

51128715456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 310 counting only the distinct ones).

The product of its digits is 336000, while the sum is 45.

The spelling of 51128715456 in words is "fifty-one billion, one hundred twenty-eight million, seven hundred fifteen thousand, four hundred fifty-six".