51996309120 has 384 divisors, whose sum is σ = 206089678080. Its totient is φ = 11833344000.

The previous prime is 51996309119. The next prime is 51996309121. The reversal of 51996309120 is 2190369915.

It is a happy number.

51996309120 is a `hidden beast` number, since 5 + 1 + 9 + 9 + 630 + 9 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (51996309119) and next prime (51996309121).

It is a tau number, because it is divible by the number of its divisors (384).

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 (51996309121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9714445 + ... + 9719795.

It is an arithmetic number, because the mean of its divisors is an integer number (536691870).

Almost surely, 2^51996309120 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 51996309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103044839040).

51996309120 is an abundant number, since it is smaller than the sum of its proper divisors (154093368960).

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

51996309120 is a wasteful number, since it uses less digits than its factorization.

51996309120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5624 (or 5609 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The spelling of 51996309120 in words is "fifty-one billion, nine hundred ninety-six million, three hundred nine thousand, one hundred twenty".