51126102400 has 48 divisors (see below), whose sum is σ = 126297457740. Its totient is φ = 20450439680.

The previous prime is 51126102383. The next prime is 51126102403. The reversal of 51126102400 is 420162115.

51126102400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51126102400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51126102403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7985254 + ... + 7991653.

Almost surely, 2^51126102400 is an apocalyptic number.

51126102400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51126102400 is an abundant number, since it is smaller than the sum of its proper divisors (75171355340).

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

51126102400 is a wasteful number, since it uses less digits than its factorization.

51126102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15976931 (or 15976914 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 51126102400 its reverse (420162115), we get a palindrome (51546264515).

The spelling of 51126102400 in words is "fifty-one billion, one hundred twenty-six million, one hundred two thousand, four hundred".