3563008602160 has 320 divisors, whose sum is σ = 9843369984000. Its totient is φ = 1173690777600.

The previous prime is 3563008602133. The next prime is 3563008602173. The reversal of 3563008602160 is 612068003653.

3563008602160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2214423436 + ... + 2214425044.

It is an arithmetic number, because the mean of its divisors is an integer number (30760531200).

Almost surely, 2^{3563008602160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3563008602160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4921684992000).

3563008602160 is an abundant number, since it is smaller than the sum of its proper divisors (6280361381840).

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

3563008602160 is a wasteful number, since it uses less digits than its factorization.

3563008602160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 3563008602160 in words is "three trillion, five hundred sixty-three billion, eight million, six hundred two thousand, one hundred sixty".