1565496408960 has 2560 divisors, whose sum is σ = 6824632320000. Its totient is φ = 337714790400.

The previous prime is 1565496408943. The next prime is 1565496408961. The reversal of 1565496408960 is 698046945651.

1565496408960 is a `hidden beast` number, since 1 + 5 + 6 + 5 + 496 + 4 + 0 + 89 + 60 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1565496408961) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 19816410201 + ... + 19816410279.

It is an arithmetic number, because the mean of its divisors is an integer number (2665872000).

Almost surely, 2^{1565496408960} is an apocalyptic number.

1565496408960 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 1565496408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412316160000).

1565496408960 is an abundant number, since it is smaller than the sum of its proper divisors (5259135911040).

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

1565496408960 is a wasteful number, since it uses less digits than its factorization.

1565496408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 1565496408960 in words is "one trillion, five hundred sixty-five billion, four hundred ninety-six million, four hundred eight thousand, nine hundred sixty".