1565563603968 has 2112 divisors, whose sum is σ = 6308978457600. Its totient is φ = 383925878784.

The previous prime is 1565563603921. The next prime is 1565563604041. The reversal of 1565563603968 is 8693063655651.

It is a happy number.

1565563603968 is a `hidden beast` number, since 1 + 5 + 6 + 5 + 563 + 6 + 0 + 3 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18862212055 + ... + 18862212137.

Almost surely, 2^{1565563603968} is an apocalyptic number.

1565563603968 is a gapful number since it is divisible by the number (18) 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 1565563603968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154489228800).

1565563603968 is an abundant number, since it is smaller than the sum of its proper divisors (4743414853632).

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

1565563603968 is an equidigital number, since it uses as much as digits as its factorization.

1565563603968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 104976000, while the sum is 63.

The spelling of 1565563603968 in words is "one trillion, five hundred sixty-five billion, five hundred sixty-three million, six hundred three thousand, nine hundred sixty-eight".