1671775665500 has 96 divisors (see below), whose sum is σ = 3810559334400. Its totient is φ = 639525902400.

The previous prime is 1671775665467. The next prime is 1671775665509. The reversal of 1671775665500 is 55665771761.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1671775665509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105780599 + ... + 105796401.

It is an arithmetic number, because the mean of its divisors is an integer number (39693326400).

Almost surely, 2^{1671775665500} is an apocalyptic number.

1671775665500 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 1671775665500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905279667200).

1671775665500 is an abundant number, since it is smaller than the sum of its proper divisors (2138783668900).

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

1671775665500 is a wasteful number, since it uses less digits than its factorization.

1671775665500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25044 (or 25032 counting only the distinct ones).

The product of its (nonzero) digits is 9261000, while the sum is 56.

The spelling of 1671775665500 in words is "one trillion, six hundred seventy-one billion, seven hundred seventy-five million, six hundred sixty-five thousand, five hundred".