1565398628352 has 1152 divisors, whose sum is σ = 5487146945280. Its totient is φ = 441447874560.

The previous prime is 1565398628347. The next prime is 1565398628359. The reversal of 1565398628352 is 2538268935651.

It is a happy number.

1565398628352 is a `hidden beast` number, since 1 + 5 + 6 + 539 + 8 + 62 + 8 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1565398628352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1565398628359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4729300827 + ... + 4729301157.

It is an arithmetic number, because the mean of its divisors is an integer number (4763148390).

Almost surely, 2^{1565398628352} is an apocalyptic number.

1565398628352 is a gapful number since it is divisible by the number (12) 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 1565398628352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743573472640).

1565398628352 is an abundant number, since it is smaller than the sum of its proper divisors (3921748316928).

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

1565398628352 is a wasteful number, since it uses less digits than its factorization.

1565398628352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 409 counting only the distinct ones).

The product of its digits is 93312000, while the sum is 63.

The spelling of 1565398628352 in words is "one trillion, five hundred sixty-five billion, three hundred ninety-eight million, six hundred twenty-eight thousand, three hundred fifty-two".