51678019584 has 207 divisors, whose sum is σ = 153436010637. Its totient is φ = 16760438784.

The previous prime is 51678019579. The next prime is 51678019597. The reversal of 51678019584 is 48591087615.

It is a happy number.

The square root of 51678019584 is 227328.

It is a perfect power (a square), and thus also a powerful number.

51678019584 is a `hidden beast` number, since 51 + 6 + 7 + 8 + 0 + 1 + 9 + 584 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46242201600 + 5435817984 = 215040^2 + 73728^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 51678019584.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1396703214 + ... + 1396703250.

Almost surely, 2^51678019584 is an apocalyptic number.

51678019584 is the 227328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51678019584

51678019584 is an abundant number, since it is smaller than the sum of its proper divisors (101757991053).

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

51678019584 is an frugal number, since it uses more digits than its factorization.

51678019584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 51678019584 in words is "fifty-one billion, six hundred seventy-eight million, nineteen thousand, five hundred eighty-four".