51852121863360 has 1344 divisors, whose sum is σ = 217892408186880. Its totient is φ = 10326368747520.

The previous prime is 51852121863343. The next prime is 51852121863361. The reversal of 51852121863360 is 6336812125815.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×51852121863360² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51852121863361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3218421705 + ... + 3218437815.

It is an arithmetic number, because the mean of its divisors is an integer number (162122327520).

Almost surely, 2^{51852121863360} 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 51852121863360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108946204093440).

51852121863360 is an abundant number, since it is smaller than the sum of its proper divisors (166040286323520).

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

51852121863360 is a wasteful number, since it uses less digits than its factorization.

51852121863360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16454 (or 16437 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 51852121863360 in words is "fifty-one trillion, eight hundred fifty-two billion, one hundred twenty-one million, eight hundred sixty-three thousand, three hundred sixty".