1563101112160 has 384 divisors, whose sum is σ = 4469381038080. Its totient is φ = 505029482496.

The previous prime is 1563101112127. The next prime is 1563101112197. The reversal of 1563101112160 is 612111013651.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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, 989930251 + ... + 989931829.

It is an arithmetic number, because the mean of its divisors is an integer number (11639013120).

Almost surely, 2^{1563101112160} is an apocalyptic number.

1563101112160 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 1563101112160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234690519040).

1563101112160 is an abundant number, since it is smaller than the sum of its proper divisors (2906279925920).

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

1563101112160 is a wasteful number, since it uses less digits than its factorization.

1563101112160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 28.

The spelling of 1563101112160 in words is "one trillion, five hundred sixty-three billion, one hundred one million, one hundred twelve thousand, one hundred sixty".