51911065600 has 171 divisors, whose sum is σ = 130201957867. Its totient is φ = 20531118080.

The previous prime is 51911065597. The next prime is 51911065627. The reversal of 51911065600 is 656011915.

The square root of 51911065600 is 227840.

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 10802692096 + 41108373504 = 103936^2 + 202752^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 583270356 + ... + 583270444.

Almost surely, 2^51911065600 is an apocalyptic number.

51911065600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51911065600 is the 227840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51911065600

51911065600 is an abundant number, since it is smaller than the sum of its proper divisors (78290892267).

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

51911065600 is an frugal number, since it uses more digits than its factorization.

51911065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 34.

Multiplying 51911065600 by its product of nonzero digits (8100), we get a square (420479631360000 = 20505600²).

The spelling of 51911065600 in words is "fifty-one billion, nine hundred eleven million, sixty-five thousand, six hundred".