51647107600 has 135 divisors (see below), whose sum is σ = 136520004999. Its totient is φ = 18762585600.

The previous prime is 51647107583. The next prime is 51647107613. The reversal of 51647107600 is 670174615.

The square root of 51647107600 is 227260.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10037635344 + 41609472256 = 100188^2 + 203984^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 51647107600.

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 26 ways as a sum of consecutive naturals, for example, 49996684 + ... + 49997716.

Almost surely, 2^51647107600 is an apocalyptic number.

51647107600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51647107600 is the 227260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51647107600

51647107600 is an abundant number, since it is smaller than the sum of its proper divisors (84872897399).

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

51647107600 is a wasteful number, since it uses less digits than its factorization.

51647107600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 51647107600 in words is "fifty-one billion, six hundred forty-seven million, one hundred seven thousand, six hundred".