1561820282880 has 960 divisors, whose sum is σ = 6183054259200. Its totient is φ = 330962042880.

The previous prime is 1561820282863. The next prime is 1561820282903. The reversal of 1561820282880 is 882820281651.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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 63 ways as a sum of consecutive naturals, for example, 667728751 + ... + 667731089.

It is an arithmetic number, because the mean of its divisors is an integer number (6440681520).

Almost surely, 2^{1561820282880} is an apocalyptic number.

1561820282880 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 1561820282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091527129600).

1561820282880 is an abundant number, since it is smaller than the sum of its proper divisors (4621233976320).

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

1561820282880 is a wasteful number, since it uses less digits than its factorization.

1561820282880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 51.

The spelling of 1561820282880 in words is "one trillion, five hundred sixty-one billion, eight hundred twenty million, two hundred eighty-two thousand, eight hundred eighty".