51430689752 has 192 divisors, whose sum is σ = 112797100800. Its totient is φ = 21907791360.

The previous prime is 51430689749. The next prime is 51430689763. The reversal of 51430689752 is 25798603415.

It is a happy number.

51430689752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 51430689752.

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, 297287138 + ... + 297287310.

It is an arithmetic number, because the mean of its divisors is an integer number (587484900).

It is a 2-persistent number, because it is pandigital, and so is 2⋅51430689752 = 102861379504, but 3⋅51430689752 = 154292069256 is not.

Almost surely, 2^51430689752 is an apocalyptic number.

51430689752 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

51430689752 is the 185168-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51430689752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56398550400).

51430689752 is an abundant number, since it is smaller than the sum of its proper divisors (61366411048).

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

51430689752 is a wasteful number, since it uses less digits than its factorization.

51430689752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 51430689752 in words is "fifty-one billion, four hundred thirty million, six hundred eighty-nine thousand, seven hundred fifty-two".