51426651893760 has 2496 divisors, whose sum is σ = 219272246968320. Its totient is φ = 11397381488640.

The previous prime is 51426651893759. The next prime is 51426651893779. The reversal of 51426651893760 is 6739815662415.

It is a happy number.

51426651893760 is a `hidden beast` number, since 5 + 1 + 4 + 26 + 6 + 518 + 9 + 37 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 90380758756 + ... + 90380759324.

It is an arithmetic number, because the mean of its divisors is an integer number (87849457920).

It is a 1-persistent number, because it is pandigital, but 2⋅51426651893760 = 102853303787520 is not.

Almost surely, 2^{51426651893760} 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 51426651893760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109636123484160).

51426651893760 is an abundant number, since it is smaller than the sum of its proper divisors (167845595074560).

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

51426651893760 is a wasteful number, since it uses less digits than its factorization.

51426651893760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 51426651893760 in words is "fifty-one trillion, four hundred twenty-six billion, six hundred fifty-one million, eight hundred ninety-three thousand, seven hundred sixty".