51773644800 has 420 divisors, whose sum is σ = 191855120226. Its totient is φ = 13801881600.

The previous prime is 51773644757. The next prime is 51773644807. The reversal of 51773644800 is 844637715.

51773644800 is a `hidden beast` number, since 5 + 177 + 36 + 448 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 19269881856 + 32503762944 = 138816^2 + 180288^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51773644807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16587240 + ... + 16590360.

Almost surely, 2^51773644800 is an apocalyptic number.

51773644800 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 51773644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95927560113).

51773644800 is an abundant number, since it is smaller than the sum of its proper divisors (140081475426).

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

51773644800 is an equidigital number, since it uses as much as digits as its factorization.

51773644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3169 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 51773644800 in words is "fifty-one billion, seven hundred seventy-three million, six hundred forty-four thousand, eight hundred".