1565228365600 has 864 divisors, whose sum is σ = 4503959728128. Its totient is φ = 527966208000.

The previous prime is 1565228365579. The next prime is 1565228365627. The reversal of 1565228365600 is 65638225651.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12324632737 + ... + 12324632863.

It is an arithmetic number, because the mean of its divisors is an integer number (5212916352).

Almost surely, 2^{1565228365600} is an apocalyptic number.

1565228365600 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 1565228365600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251979864064).

1565228365600 is an abundant number, since it is smaller than the sum of its proper divisors (2938731362528).

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

1565228365600 is a wasteful number, since it uses less digits than its factorization.

1565228365600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 49.

The spelling of 1565228365600 in words is "one trillion, five hundred sixty-five billion, two hundred twenty-eight million, three hundred sixty-five thousand, six hundred".