1600536005280 has 288 divisors, whose sum is σ = 5790669393600. Its totient is φ = 401436020736.

The previous prime is 1600536005239. The next prime is 1600536005281. The reversal of 1600536005280 is 825006350061.

1600536005280 is a `hidden beast` number, since 16 + 0 + 0 + 5 + 360 + 0 + 5 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (1600536005281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3592612 + ... + 4013468.

It is an arithmetic number, because the mean of its divisors is an integer number (20106490950).

Almost surely, 2^{1600536005280} is an apocalyptic number.

1600536005280 is a gapful number since it is divisible by the number (10) 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 1600536005280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895334696800).

1600536005280 is an abundant number, since it is smaller than the sum of its proper divisors (4190133388320).

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

1600536005280 is a wasteful number, since it uses less digits than its factorization.

1600536005280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421036 (or 421025 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1600536005280 in words is "one trillion, six hundred billion, five hundred thirty-six million, five thousand, two hundred eighty".