51423135304000 has 448 divisors, whose sum is σ = 135763268996160. Its totient is φ = 19227259699200.

The previous prime is 51423135303997. The next prime is 51423135304027. The reversal of 51423135304000 is 40353132415.

It can be written as a sum of positive squares in 32 ways, for example, as 43204960010304 + 8218175293696 = 6573048^2 + 2866736^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14232806194 + ... + 14232809806.

Almost surely, 2^{51423135304000} is an apocalyptic number.

51423135304000 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 51423135304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67881634498080).

51423135304000 is an abundant number, since it is smaller than the sum of its proper divisors (84340133692160).

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

51423135304000 is a wasteful number, since it uses less digits than its factorization.

51423135304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4343 (or 4323 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 51423135304000 its reverse (40353132415), we get a palindrome (51463488436415).

The spelling of 51423135304000 in words is "fifty-one trillion, four hundred twenty-three billion, one hundred thirty-five million, three hundred four thousand".