51200003476800 has 252 divisors, whose sum is σ = 192681425770236. Its totient is φ = 12850196889600.

The previous prime is 51200003476799. The next prime is 51200003476829. The reversal of 51200003476800 is 867430000215.

51200003476800 is a `hidden beast` number, since 51 + 200 + 0 + 0 + 347 + 68 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 592259533056 + 50607743943744 = 769584^2 + 7113912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 104330371 + ... + 104819970.

Almost surely, 2^{51200003476800} is an apocalyptic number.

51200003476800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51200003476800 is an abundant number, since it is smaller than the sum of its proper divisors (141481422293436).

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

51200003476800 is a wasteful number, since it uses less digits than its factorization.

51200003476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209150386 (or 209150368 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 51200003476800 in words is "fifty-one trillion, two hundred billion, three million, four hundred seventy-six thousand, eight hundred".