51399451192320 has 6336 divisors, whose sum is σ = 259486628544000. Its totient is φ = 9239191879680.

The previous prime is 51399451192307. The next prime is 51399451192333. The reversal of 51399451192320 is 2329115499315.

It is a happy number.

51399451192320 is a `hidden beast` number, since 5 + 1 + 3 + 9 + 9 + 4 + 511 + 92 + 32 + 0 = 666.

51399451192320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51399451192307) and next prime (51399451192333).

It is a tau number, because it is divible by the number of its divisors (6336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 344962759606 + ... + 344962759754.

It is an arithmetic number, because the mean of its divisors is an integer number (40954329000).

Almost surely, 2^{51399451192320} 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 51399451192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129743314272000).

51399451192320 is an abundant number, since it is smaller than the sum of its proper divisors (208087177351680).

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

51399451192320 is a wasteful number, since it uses less digits than its factorization.

51399451192320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 51399451192320 in words is "fifty-one trillion, three hundred ninety-nine billion, four hundred fifty-one million, one hundred ninety-two thousand, three hundred twenty".