51128340480 has 1560 divisors, whose sum is σ = 231848614008. Its totient is φ = 10701766656.

The previous prime is 51128340469. The next prime is 51128340499. The reversal of 51128340480 is 8404382115.

51128340480 is a `hidden beast` number, since 51 + 12 + 83 + 40 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21069103104 + 30059237376 = 145152^2 + 173376^2 .

It is a super-2 number, since 2×51128340480² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1381847022 + ... + 1381847058.

Almost surely, 2^51128340480 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 51128340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115924307004).

51128340480 is an abundant number, since it is smaller than the sum of its proper divisors (180720273528).

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

51128340480 is a wasteful number, since it uses less digits than its factorization.

51128340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 51128340480 in words is "fifty-one billion, one hundred twenty-eight million, three hundred forty thousand, four hundred eighty".