5450205305304 has 512 divisors, whose sum is σ = 16111872000000. Its totient is φ = 1704593092608.

The previous prime is 5450205305297. The next prime is 5450205305359. The reversal of 5450205305304 is 4035035020545.

5450205305304 is a `hidden beast` number, since 5 + 4 + 50 + 20 + 53 + 0 + 530 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11378298937 + ... + 11378299415.

It is an arithmetic number, because the mean of its divisors is an integer number (31468500000).

Almost surely, 2^{5450205305304} is an apocalyptic number.

5450205305304 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5450205305304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8055936000000).

5450205305304 is an abundant number, since it is smaller than the sum of its proper divisors (10661666694696).

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

5450205305304 is a wasteful number, since it uses less digits than its factorization.

5450205305304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 36.

The spelling of 5450205305304 in words is "five trillion, four hundred fifty billion, two hundred five million, three hundred five thousand, three hundred four".