1561560000000 has 1920 divisors, whose sum is σ = 7020319527936. Its totient is φ = 299520000000.

The previous prime is 1561559999981. The next prime is 1561560000101. The reversal of 1561560000000 is 651651.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 120119999994 + ... + 120120000006.

Almost surely, 2^{1561560000000} is an apocalyptic number.

1561560000000 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 1561560000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510159763968).

1561560000000 is an abundant number, since it is smaller than the sum of its proper divisors (5458759527936).

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

1561560000000 is an frugal number, since it uses more digits than its factorization.

1561560000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 1561560000000 its reverse (651651), we get a palindrome (1561560651651).

The spelling of 1561560000000 in words is "one trillion, five hundred sixty-one billion, five hundred sixty million", and thus it is an aban number.