51430801968 has 360 divisors, whose sum is σ = 183888706560. Its totient is φ = 13125265920.

The previous prime is 51430801967. The next prime is 51430801969. The reversal of 51430801968 is 86910803415.

51430801968 is a `hidden beast` number, since 51 + 430 + 80 + 1 + 96 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (51430801967) and next prime (51430801969).

It is not an unprimeable number, because it can be changed into a prime (51430801967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5276043 + ... + 5285781.

Almost surely, 2^51430801968 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 51430801968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91944353280).

51430801968 is an abundant number, since it is smaller than the sum of its proper divisors (132457904592).

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

51430801968 is a wasteful number, since it uses less digits than its factorization.

51430801968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9817 (or 9795 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 51430801968 in words is "fifty-one billion, four hundred thirty million, eight hundred one thousand, nine hundred sixty-eight".