1565085049920 has 448 divisors, whose sum is σ = 6380946547200. Its totient is φ = 353713029120.

The previous prime is 1565085049907. The next prime is 1565085049943. The reversal of 1565085049920 is 299405805651.

1565085049920 is a `hidden beast` number, since 1 + 5 + 6 + 50 + 85 + 0 + 499 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5237340 + ... + 5528100.

Almost surely, 2^{1565085049920} is an apocalyptic number.

1565085049920 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 1565085049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3190473273600).

1565085049920 is an abundant number, since it is smaller than the sum of its proper divisors (4815861497280).

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

1565085049920 is a wasteful number, since it uses less digits than its factorization.

1565085049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290883 (or 290867 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 1565085049920 in words is "one trillion, five hundred sixty-five billion, eighty-five million, forty-nine thousand, nine hundred twenty".