51177824256 has 224 divisors, whose sum is σ = 150586244928. Its totient is φ = 15359016960.

The previous prime is 51177824227. The next prime is 51177824359. The reversal of 51177824256 is 65242877115.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13097055 + ... + 13100961.

It is an arithmetic number, because the mean of its divisors is an integer number (672260022).

Almost surely, 2^51177824256 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 51177824256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75293122464).

51177824256 is an abundant number, since it is smaller than the sum of its proper divisors (99408420672).

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

51177824256 is a wasteful number, since it uses less digits than its factorization.

51177824256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3990 (or 3966 counting only the distinct ones).

The product of its digits is 940800, while the sum is 48.

The spelling of 51177824256 in words is "fifty-one billion, one hundred seventy-seven million, eight hundred twenty-four thousand, two hundred fifty-six".