1663120628500 has 96 divisors (see below), whose sum is σ = 3706327261728. Its totient is φ = 651719577600.

The previous prime is 1663120628473. The next prime is 1663120628509. The reversal of 1663120628500 is 58260213661.

It can be written as a sum of positive squares in 16 ways, for example, as 696937789584 + 966182838916 = 834828^2 + 982946^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1663120628509) 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, 17787874 + ... + 17881126.

It is an arithmetic number, because the mean of its divisors is an integer number (38607575643).

Almost surely, 2^{1663120628500} is an apocalyptic number.

1663120628500 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 1663120628500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853163630864).

1663120628500 is an abundant number, since it is smaller than the sum of its proper divisors (2043206633228).

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

1663120628500 is a wasteful number, since it uses less digits than its factorization.

1663120628500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93998 (or 93986 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 1663120628500 in words is "one trillion, six hundred sixty-three billion, one hundred twenty million, six hundred twenty-eight thousand, five hundred".