51842235217920 has 1536 divisors, whose sum is σ = 206679726489600. Its totient is φ = 10825983590400.

The previous prime is 51842235217879. The next prime is 51842235217943. The reversal of 51842235217920 is 2971253224815.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50283447805 + ... + 50283448835.

It is an arithmetic number, because the mean of its divisors is an integer number (134557113600).

Almost surely, 2^{51842235217920} 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 51842235217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103339863244800).

51842235217920 is an abundant number, since it is smaller than the sum of its proper divisors (154837491271680).

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

51842235217920 is a wasteful number, since it uses less digits than its factorization.

51842235217920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 51842235217920 in words is "fifty-one trillion, eight hundred forty-two billion, two hundred thirty-five million, two hundred seventeen thousand, nine hundred twenty".