51521032014144 has 224 divisors, whose sum is σ = 169963264214016. Its totient is φ = 13381238292480.

The previous prime is 51521032014143. The next prime is 51521032014149. The reversal of 51521032014144 is 44141023012515.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51521032014143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252808032 + ... + 253011744.

It is an arithmetic number, because the mean of its divisors is an integer number (758764572384).

Almost surely, 2^{51521032014144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51521032014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84981632107008).

51521032014144 is an abundant number, since it is smaller than the sum of its proper divisors (118442232199872).

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

51521032014144 is a wasteful number, since it uses less digits than its factorization.

51521032014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220853 (or 220843 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 51521032014144 its reverse (44141023012515), we get a palindrome (95662055026659).

The spelling of 51521032014144 in words is "fifty-one trillion, five hundred twenty-one billion, thirty-two million, fourteen thousand, one hundred forty-four".