51225560365600 has 144 divisors (see below), whose sum is σ = 132419332073448. Its totient is φ = 19283636387840.

The previous prime is 51225560365559. The next prime is 51225560365703. The reversal of 51225560365600 is 656306552215.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 990749492496 + 50234810873104 = 995364^2 + 7087652^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218802204 + ... + 219036196.

Almost surely, 2^{51225560365600} is an apocalyptic number.

51225560365600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51225560365600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66209666036724).

51225560365600 is an abundant number, since it is smaller than the sum of its proper divisors (81193771707848).

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

51225560365600 is a wasteful number, since it uses less digits than its factorization.

51225560365600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250127 (or 250114 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 46.

The spelling of 51225560365600 in words is "fifty-one trillion, two hundred twenty-five billion, five hundred sixty million, three hundred sixty-five thousand, six hundred".