51126181344 has 576 divisors, whose sum is σ = 186147097920. Its totient is φ = 13732540416.

The previous prime is 51126181333. The next prime is 51126181349. The reversal of 51126181344 is 44318162115.

51126181344 is a `hidden beast` number, since 5 + 1 + 1 + 2 + 618 + 1 + 34 + 4 = 666.

It is a super-2 number, since 2×51126181344² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51126181299 and 51126181308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51126181349) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58296234 + ... + 58297110.

It is an arithmetic number, because the mean of its divisors is an integer number (323172045).

Almost surely, 2^51126181344 is an apocalyptic number.

51126181344 is a gapful number since it is divisible by the number (54) 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 51126181344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93073548960).

51126181344 is an abundant number, since it is smaller than the sum of its proper divisors (135020916576).

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

51126181344 is an equidigital number, since it uses as much as digits as its factorization.

51126181344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 906 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The spelling of 51126181344 in words is "fifty-one billion, one hundred twenty-six million, one hundred eighty-one thousand, three hundred forty-four".