51351153344000 has 160 divisors (see below), whose sum is σ = 128057335788096. Its totient is φ = 20538853171200.

The previous prime is 51351153343993. The next prime is 51351153344009. The reversal of 51351153344000 is 44335115315.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51351153344009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1141545509 + ... + 1141590491.

Almost surely, 2^{51351153344000} is an apocalyptic number.

51351153344000 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 51351153344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64028667894048).

51351153344000 is an abundant number, since it is smaller than the sum of its proper divisors (76706182444096).

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

51351153344000 is an equidigital number, since it uses as much as digits as its factorization.

51351153344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62853 (or 62827 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

Adding to 51351153344000 its reverse (44335115315), we get a palindrome (51395488459315).

The spelling of 51351153344000 in words is "fifty-one trillion, three hundred fifty-one billion, one hundred fifty-three million, three hundred forty-four thousand".