51126106424960 has 384 divisors, whose sum is σ = 143680079664000. Its totient is φ = 17344687202304.

The previous prime is 51126106424929. The next prime is 51126106424971. The reversal of 51126106424960 is 6942460162115.

It is a super-2 number, since 2×51126106424960² (a number of 28 digits) contains 22 as substring.

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, 1228883519 + ... + 1228925121.

It is an arithmetic number, because the mean of its divisors is an integer number (374166874125).

Almost surely, 2^{51126106424960} 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 51126106424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71840039832000).

51126106424960 is an abundant number, since it is smaller than the sum of its proper divisors (92553973239040).

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

51126106424960 is a wasteful number, since it uses less digits than its factorization.

51126106424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42048 (or 42029 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 51126106424960 in words is "fifty-one trillion, one hundred twenty-six billion, one hundred six million, four hundred twenty-four thousand, nine hundred sixty".