3505662112560 has 160 divisors (see below), whose sum is σ = 11441620427520. Its totient is φ = 885479040000.

The previous prime is 3505662112549. The next prime is 3505662112627. The reversal of 3505662112560 is 652112665053.

3505662112560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25929135 + ... + 26063985.

It is an arithmetic number, because the mean of its divisors is an integer number (71510127672).

Almost surely, 2^{3505662112560} is an apocalyptic number.

3505662112560 is a gapful number since it is divisible by the number (30) 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 3505662112560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5720810213760).

3505662112560 is an abundant number, since it is smaller than the sum of its proper divisors (7935958314960).

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

3505662112560 is a wasteful number, since it uses less digits than its factorization.

3505662112560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140587 (or 140581 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 3505662112560 in words is "three trillion, five hundred five billion, six hundred sixty-two million, one hundred twelve thousand, five hundred sixty".