3586116188160 has 1440 divisors, whose sum is σ = 14524623313200. Its totient is φ = 839260569600.

The previous prime is 3586116188117. The next prime is 3586116188201. The reversal of 3586116188160 is 618816116853.

It is a happy number.

3586116188160 is a `hidden beast` number, since 3 + 5 + 8 + 6 + 1 + 1 + 618 + 8 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3586116188097 and 3586116188106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8768010036 + ... + 8768010444.

Almost surely, 2^{3586116188160} is an apocalyptic number.

3586116188160 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 3586116188160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7262311656600).

3586116188160 is an abundant number, since it is smaller than the sum of its proper divisors (10938507125040).

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

3586116188160 is a wasteful number, since it uses less digits than its factorization.

3586116188160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

It can be divided in two parts, 358611 and 6188160, that added together give a triangular number (6546771 = T₃₆₁₈).

The spelling of 3586116188160 in words is "three trillion, five hundred eighty-six billion, one hundred sixteen million, one hundred eighty-eight thousand, one hundred sixty".