3560253225984 has 2112 divisors, whose sum is σ = 14586063897600. Its totient is φ = 834737799168.

The previous prime is 3560253225973. The next prime is 3560253226037. The reversal of 3560253225984 is 4895223520653.

It is a happy number.

3560253225984 is a `hidden beast` number, since 3 + 5 + 6 + 0 + 2 + 532 + 25 + 9 + 84 = 666.

3560253225984 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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3560253225984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10564549464 + ... + 10564549800.

Almost surely, 2^{3560253225984} is an apocalyptic number.

3560253225984 is a gapful number since it is divisible by the number (34) 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 3560253225984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7293031948800).

3560253225984 is an abundant number, since it is smaller than the sum of its proper divisors (11025810671616).

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

3560253225984 is a wasteful number, since it uses less digits than its factorization.

3560253225984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 3560253225984 in words is "three trillion, five hundred sixty billion, two hundred fifty-three million, two hundred twenty-five thousand, nine hundred eighty-four".