51560784900 has 315 divisors, whose sum is σ = 173744806921. Its totient is φ = 13275420480.

The previous prime is 51560784889. The next prime is 51560784901. The reversal of 51560784900 is 948706515.

The square root of 51560784900 is 227070.

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

51560784900 is a `hidden beast` number, since 5 + 1 + 560 + 7 + 84 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 30554340804 + 21006444096 = 174798^2 + 144936^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51560784901) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 1777958086 + ... + 1777958114.

Almost surely, 2^51560784900 is an apocalyptic number.

51560784900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51560784900 is the 227070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51560784900

51560784900 is an abundant number, since it is smaller than the sum of its proper divisors (122184022021).

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

51560784900 is an frugal number, since it uses more digits than its factorization.

51560784900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 51560784900 in words is "fifty-one billion, five hundred sixty million, seven hundred eighty-four thousand, nine hundred".