16628664441600 has 270 divisors, whose sum is σ = 61483750920900. Its totient is φ = 4434310379520.

The previous prime is 16628664441583. The next prime is 16628664441629. The reversal of 16628664441600 is 614446682661.

16628664441600 is a `hidden beast` number, since 1 + 6 + 6 + 2 + 86 + 64 + 441 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (270).

It is a super-2 number, since 2×16628664441600² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15520050 + ... + 16556849.

Almost surely, 2^{16628664441600} is an apocalyptic number.

16628664441600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16628664441600 is an abundant number, since it is smaller than the sum of its proper divisors (44855086479300).

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

16628664441600 is an equidigital number, since it uses as much as digits as its factorization.

16628664441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32076937 (or 32076909 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 16628664441600 in words is "sixteen trillion, six hundred twenty-eight billion, six hundred sixty-four million, four hundred forty-one thousand, six hundred".