51362824320 has 192 divisors, whose sum is σ = 177490324440. Its totient is φ = 13686865920.

The previous prime is 51362824313. The next prime is 51362824339. The reversal of 51362824320 is 2342826315.

51362824320 is a `hidden beast` number, since 5 + 1 + 3 + 628 + 2 + 4 + 3 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50927851584 + 434972736 = 225672^2 + 20856^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 11615710 + ... + 11620130.

Almost surely, 2^51362824320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51362824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88745162220).

51362824320 is an abundant number, since it is smaller than the sum of its proper divisors (126127500120).

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

51362824320 is a wasteful number, since it uses less digits than its factorization.

51362824320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6463 (or 6448 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 51362824320 in words is "fifty-one billion, three hundred sixty-two million, eight hundred twenty-four thousand, three hundred twenty".