1665728955000 has 1200 divisors, whose sum is σ = 6749355921000. Its totient is φ = 382345920000.

The previous prime is 1665728954983. The next prime is 1665728955001. The reversal of 1665728955000 is 5598275661.

1665728955000 is a `hidden beast` number, since 1 + 6 + 6 + 5 + 7 + 2 + 89 + 550 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1665728955001) by changing a digit.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 931094106 + ... + 931095894.

Almost surely, 2^{1665728955000} is an apocalyptic number.

1665728955000 is a gapful number since it is divisible by the number (10) 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 1665728955000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374677960500).

1665728955000 is an abundant number, since it is smaller than the sum of its proper divisors (5083626966000).

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

1665728955000 is a wasteful number, since it uses less digits than its factorization.

1665728955000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 1665728955000 in words is "one trillion, six hundred sixty-five billion, seven hundred twenty-eight million, nine hundred fifty-five thousand".