5205405356064 has 144 divisors (see below), whose sum is σ = 15317374363200. Its totient is φ = 1674858812928.

The previous prime is 5205405356057. The next prime is 5205405356087. The reversal of 5205405356064 is 4606535045025.

5205405356064 is a `hidden beast` number, since 5 + 2 + 0 + 5 + 4 + 0 + 5 + 35 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32183107 + ... + 32344445.

It is an arithmetic number, because the mean of its divisors is an integer number (106370655300).

Almost surely, 2^{5205405356064} 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 5205405356064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7658687181600).

5205405356064 is an abundant number, since it is smaller than the sum of its proper divisors (10111969007136).

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

5205405356064 is a wasteful number, since it uses less digits than its factorization.

5205405356064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165247 (or 165236 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 5205405356064 in words is "five trillion, two hundred five billion, four hundred five million, three hundred fifty-six thousand, sixty-four".