51677564928 has 208 divisors, whose sum is σ = 154393928256. Its totient is φ = 15235153920.

The previous prime is 51677564909. The next prime is 51677564989. The reversal of 51677564928 is 82946577615.

It is a happy number.

It is a Cunningham number, because it is equal to 227327²-1.

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, 4996050 + ... + 5006382.

Almost surely, 2^51677564928 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 51677564928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77196964128).

51677564928 is an abundant number, since it is smaller than the sum of its proper divisors (102716363328).

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

51677564928 is a wasteful number, since it uses less digits than its factorization.

51677564928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10408 (or 10386 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 60.

It can be divided in two parts, 51677 and 564928, that added together give a triangular number (616605 = T₁₁₁₀).

The spelling of 51677564928 in words is "fifty-one billion, six hundred seventy-seven million, five hundred sixty-four thousand, nine hundred twenty-eight".