51126426000 has 720 divisors, whose sum is σ = 199729372752. Its totient is φ = 12109824000.

The previous prime is 51126425983. The next prime is 51126426049. The reversal of 51126426000 is 62462115.

51126426000 is a `hidden beast` number, since 5 + 1 + 12 + 6 + 42 + 600 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 48477470976 + 2648955024 = 220176^2 + 51468^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×51126426000² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 700361964 + ... + 700362036.

Almost surely, 2^51126426000 is an apocalyptic number.

51126426000 is a gapful number since it is divisible by the number (50) 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 51126426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99864686376).

51126426000 is an abundant number, since it is smaller than the sum of its proper divisors (148602946752).

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

51126426000 is a wasteful number, since it uses less digits than its factorization.

51126426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 51126426000 its reverse (62462115), we get a palindrome (51188888115).

The spelling of 51126426000 in words is "fifty-one billion, one hundred twenty-six million, four hundred twenty-six thousand".