51344668800 has 480 divisors, whose sum is σ = 191258913780. Its totient is φ = 13563002880.

The previous prime is 51344668783. The next prime is 51344668801. The reversal of 51344668800 is 886644315.

It can be written as a sum of positive squares in 6 ways, for example, as 4359744 + 51340309056 = 2088^2 + 226584^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (51344668801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29288724 + ... + 29290476.

Almost surely, 2^51344668800 is an apocalyptic number.

51344668800 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 51344668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95629456890).

51344668800 is an abundant number, since it is smaller than the sum of its proper divisors (139914244980).

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

51344668800 is a wasteful number, since it uses less digits than its factorization.

51344668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 51344668800 in words is "fifty-one billion, three hundred forty-four million, six hundred sixty-eight thousand, eight hundred".