51604701456 has 640 divisors, whose sum is σ = 181942640640. Its totient is φ = 12307384320.

The previous prime is 51604701431. The next prime is 51604701469. The reversal of 51604701456 is 65410740615.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 298292986 + ... + 298293158.

It is an arithmetic number, because the mean of its divisors is an integer number (284285376).

Almost surely, 2^51604701456 is an apocalyptic number.

51604701456 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 51604701456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90971320320).

51604701456 is an abundant number, since it is smaller than the sum of its proper divisors (130337939184).

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

51604701456 is a wasteful number, since it uses less digits than its factorization.

51604701456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 51604701456 in words is "fifty-one billion, six hundred four million, seven hundred one thousand, four hundred fifty-six".