3558516921960 has 384 divisors, whose sum is σ = 14442199914240. Its totient is φ = 682552442880.

The previous prime is 3558516921913. The next prime is 3558516921961. The reversal of 3558516921960 is 691296158553.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3558516921894 and 3558516921903.

It is not an unprimeable number, because it can be changed into a prime (3558516921961) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 25257 + ... + 2667896.

It is an arithmetic number, because the mean of its divisors is an integer number (37609895610).

Almost surely, 2^{3558516921960} is an apocalyptic number.

3558516921960 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 3558516921960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7221099957120).

3558516921960 is an abundant number, since it is smaller than the sum of its proper divisors (10883682992280).

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

3558516921960 is a wasteful number, since it uses less digits than its factorization.

3558516921960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693209 (or 2693194 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 60.

The spelling of 3558516921960 in words is "three trillion, five hundred fifty-eight billion, five hundred sixteen million, nine hundred twenty-one thousand, nine hundred sixty".