1561299719056 has 320 divisors, whose sum is σ = 4068859576320. Its totient is φ = 561969031680.

The previous prime is 1561299719047. The next prime is 1561299719059. The reversal of 1561299719056 is 6509179921651.

It is a super-2 number, since 2×1561299719056² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1561299718985 and 1561299719003.

It is not an unprimeable number, because it can be changed into a prime (1561299719059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1094112615 + ... + 1094114041.

It is an arithmetic number, because the mean of its divisors is an integer number (12715186176).

Almost surely, 2^{1561299719056} is an apocalyptic number.

1561299719056 is a gapful number since it is divisible by the number (16) 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 1561299719056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034429788160).

1561299719056 is an abundant number, since it is smaller than the sum of its proper divisors (2507559857264).

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

1561299719056 is a wasteful number, since it uses less digits than its factorization.

1561299719056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 9185400, while the sum is 61.

The spelling of 1561299719056 in words is "one trillion, five hundred sixty-one billion, two hundred ninety-nine million, seven hundred nineteen thousand, fifty-six".