51732592704 has 315 divisors, whose sum is σ = 166741462173. Its totient is φ = 15917720832.

The previous prime is 51732592687. The next prime is 51732592727. The reversal of 51732592704 is 40729523715.

It is a happy number.

The square root of 51732592704 is 227448.

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

51732592704 is a `hidden beast` number, since 51 + 7 + 3 + 2 + 592 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7652750400 + 44079842304 = 87480^2 + 209952^2 .

It is a super-2 number, since 2×51732592704² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51732592704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3979430202 + ... + 3979430214.

Almost surely, 2^51732592704 is an apocalyptic number.

51732592704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

51732592704 is the 227448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51732592704

51732592704 is an abundant number, since it is smaller than the sum of its proper divisors (115008869469).

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

51732592704 is an frugal number, since it uses more digits than its factorization.

51732592704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 51732592704 in words is "fifty-one billion, seven hundred thirty-two million, five hundred ninety-two thousand, seven hundred four".