51174982656 has 352 divisors, whose sum is σ = 174007445760. Its totient is φ = 14553907200.

The previous prime is 51174982627. The next prime is 51174982673. The reversal of 51174982656 is 65628947115.

It is a happy number.

51174982656 is a `hidden beast` number, since 511 + 7 + 49 + 82 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54383146 + ... + 54384086.

Almost surely, 2^51174982656 is an apocalyptic number.

51174982656 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 51174982656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87003722880).

51174982656 is an abundant number, since it is smaller than the sum of its proper divisors (122832463104).

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

51174982656 is a wasteful number, since it uses less digits than its factorization.

51174982656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1234 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 51174982656 in words is "fifty-one billion, one hundred seventy-four million, nine hundred eighty-two thousand, six hundred fifty-six".