1565561088000 has 3072 divisors, whose sum is σ = 7555451904000. Its totient is φ = 310542336000.

The previous prime is 1565561087983. The next prime is 1565561088029. The reversal of 1565561088000 is 8801655651.

1565561088000 is a `hidden beast` number, since 1 + 5 + 6 + 5 + 561 + 0 + 8 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11950847935 + ... + 11950848065.

It is an arithmetic number, because the mean of its divisors is an integer number (2459457000).

Almost surely, 2^{1565561088000} is an apocalyptic number.

1565561088000 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 1565561088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777725952000).

1565561088000 is an abundant number, since it is smaller than the sum of its proper divisors (5989890816000).

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

1565561088000 is a wasteful number, since it uses less digits than its factorization.

1565561088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 1565561088000 in words is "one trillion, five hundred sixty-five billion, five hundred sixty-one million, eighty-eight thousand".