3666160052400 has 120 divisors (see below), whose sum is σ = 11744485003264. Its totient is φ = 977596704000.

The previous prime is 3666160052371. The next prime is 3666160052447. The reversal of 3666160052400 is 42500616663.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 31082337 + ... + 31200063.

Almost surely, 2^{3666160052400} is an apocalyptic number.

3666160052400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3666160052400 is an abundant number, since it is smaller than the sum of its proper divisors (8078324950864).

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

3666160052400 is a wasteful number, since it uses less digits than its factorization.

3666160052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143699 (or 143688 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 3666160052400 in words is "three trillion, six hundred sixty-six billion, one hundred sixty million, fifty-two thousand, four hundred".