51342102400 has 192 divisors, whose sum is σ = 130352438160. Its totient is φ = 19970048000.

The previous prime is 51342102397. The next prime is 51342102403. The reversal of 51342102400 is 420124315.

51342102400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51342102397) and next prime (51342102403).

It is a super-2 number, since 2×51342102400² (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 (51342102403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64418802 + ... + 64419598.

Almost surely, 2^51342102400 is an apocalyptic number.

51342102400 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 51342102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65176219080).

51342102400 is an abundant number, since it is smaller than the sum of its proper divisors (79010335760).

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

51342102400 is a wasteful number, since it uses less digits than its factorization.

51342102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 51342102400 its reverse (420124315), we get a palindrome (51762226715).

The spelling of 51342102400 in words is "fifty-one billion, three hundred forty-two million, one hundred two thousand, four hundred".