5305540956912 has 240 divisors, whose sum is σ = 17124257429760. Its totient is φ = 1502082828288.

The previous prime is 5305540956839. The next prime is 5305540956977. The reversal of 5305540956912 is 2196590455035.

5305540956912 is a `hidden beast` number, since 5 + 3 + 0 + 5 + 540 + 9 + 5 + 6 + 91 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55322539 + ... + 55418357.

It is an arithmetic number, because the mean of its divisors is an integer number (71351072624).

Almost surely, 2^{5305540956912} 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 5305540956912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8562128714880).

5305540956912 is an abundant number, since it is smaller than the sum of its proper divisors (11818716472848).

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

5305540956912 is a wasteful number, since it uses less digits than its factorization.

5305540956912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96340 (or 96331 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 54.

The spelling of 5305540956912 in words is "five trillion, three hundred five billion, five hundred forty million, nine hundred fifty-six thousand, nine hundred twelve".