3666191019120 has 720 divisors, whose sum is σ = 15254500087008. Its totient is φ = 815330396160.

The previous prime is 3666191019119. The next prime is 3666191019133. The reversal of 3666191019120 is 219101916663.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3666191019120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 35192710 + ... + 35296730.

Almost surely, 2^{3666191019120} is an apocalyptic number.

3666191019120 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 3666191019120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7627250043504).

3666191019120 is an abundant number, since it is smaller than the sum of its proper divisors (11588309067888).

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

3666191019120 is a wasteful number, since it uses less digits than its factorization.

3666191019120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104100 (or 104075 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 3666191019120 in words is "three trillion, six hundred sixty-six billion, one hundred ninety-one million, nineteen thousand, one hundred twenty".