51364442304 has 224 divisors, whose sum is σ = 173108518400. Its totient is φ = 14630077440.

The previous prime is 51364442273. The next prime is 51364442317. The reversal of 51364442304 is 40324446315.

51364442304 is a `hidden beast` number, since 5 + 1 + 3 + 644 + 4 + 2 + 3 + 0 + 4 = 666.

51364442304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3997362 + ... + 4010190.

Almost surely, 2^51364442304 is an apocalyptic number.

51364442304 is a gapful number since it is divisible by the number (54) 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 51364442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86554259200).

51364442304 is an abundant number, since it is smaller than the sum of its proper divisors (121744076096).

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

51364442304 is a wasteful number, since it uses less digits than its factorization.

51364442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13188 (or 13172 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 51364442304 its reverse (40324446315), we get a palindrome (91688888619).

The spelling of 51364442304 in words is "fifty-one billion, three hundred sixty-four million, four hundred forty-two thousand, three hundred four".