5450128450200 has 1728 divisors, whose sum is σ = 23397457824000. Its totient is φ = 1109309644800.

The previous prime is 5450128450189. The next prime is 5450128450211. The reversal of 5450128450200 is 20548210545.

5450128450200 is a `hidden beast` number, since 5 + 4 + 501 + 2 + 84 + 50 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5450128450189) and next prime (5450128450211).

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 polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 11670510367 + ... + 11670510833.

It is an arithmetic number, because the mean of its divisors is an integer number (13540195500).

Almost surely, 2^{5450128450200} is an apocalyptic number.

5450128450200 is a gapful number since it is divisible by the number (50) 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 5450128450200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11698728912000).

5450128450200 is an abundant number, since it is smaller than the sum of its proper divisors (17947329373800).

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

5450128450200 is a wasteful number, since it uses less digits than its factorization.

5450128450200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 5450128450200 in words is "five trillion, four hundred fifty billion, one hundred twenty-eight million, four hundred fifty thousand, two hundred".