51398943456 has 288 divisors, whose sum is σ = 162250518528. Its totient is φ = 13954913280.

The previous prime is 51398943373. The next prime is 51398943461. The reversal of 51398943456 is 65434989315.

It is a junction number, because it is equal to n+sod(n) for n = 51398943396 and 51398943405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67897830 + ... + 67898586.

It is an arithmetic number, because the mean of its divisors is an integer number (563369856).

Almost surely, 2^51398943456 is an apocalyptic number.

51398943456 is a gapful number since it is divisible by the number (56) 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 51398943456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81125259264).

51398943456 is an abundant number, since it is smaller than the sum of its proper divisors (110851575072).

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

51398943456 is a wasteful number, since it uses less digits than its factorization.

51398943456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 983 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 57.

The spelling of 51398943456 in words is "fifty-one billion, three hundred ninety-eight million, nine hundred forty-three thousand, four hundred fifty-six".