3503666516504 has 288 divisors, whose sum is σ = 8700589371600. Its totient is φ = 1316305267200.

The previous prime is 3503666516503. The next prime is 3503666516521. The reversal of 3503666516504 is 4056156663053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3503666516501) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1775805662 + ... + 1775807634.

Almost surely, 2^{3503666516504} 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 3503666516504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4350294685800).

3503666516504 is an abundant number, since it is smaller than the sum of its proper divisors (5196922855096).

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

3503666516504 is a wasteful number, since it uses less digits than its factorization.

3503666516504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 50.

The spelling of 3503666516504 in words is "three trillion, five hundred three billion, six hundred sixty-six million, five hundred sixteen thousand, five hundred four".