1560034160256 has 512 divisors, whose sum is σ = 5063635906560. Its totient is φ = 419198976000.

The previous prime is 1560034160239. The next prime is 1560034160297. The reversal of 1560034160256 is 6520614300651.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 144028761 + ... + 144039591.

It is an arithmetic number, because the mean of its divisors is an integer number (9889913880).

Almost surely, 2^{1560034160256} is an apocalyptic number.

1560034160256 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 1560034160256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531817953280).

1560034160256 is an abundant number, since it is smaller than the sum of its proper divisors (3503601746304).

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

1560034160256 is a wasteful number, since it uses less digits than its factorization.

1560034160256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10976 (or 10964 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 1560034160256 in words is "one trillion, five hundred sixty billion, thirty-four million, one hundred sixty thousand, two hundred fifty-six".