1561273341600 has 576 divisors, whose sum is σ = 6110493403392. Its totient is φ = 338743296000.

The previous prime is 1561273341557. The next prime is 1561273341623. The reversal of 1561273341600 is 61433721651.

It is a super-3 number, since 3×1561273341600³ (a number of 38 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 25454970 + ... + 25516230.

It is an arithmetic number, because the mean of its divisors is an integer number (10608495492).

Almost surely, 2^{1561273341600} is an apocalyptic number.

1561273341600 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 1561273341600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055246701696).

1561273341600 is an abundant number, since it is smaller than the sum of its proper divisors (4549220061792).

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

1561273341600 is a wasteful number, since it uses less digits than its factorization.

1561273341600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61369 (or 61356 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 1561273341600 in words is "one trillion, five hundred sixty-one billion, two hundred seventy-three million, three hundred forty-one thousand, six hundred".