1993455692800 has 528 divisors, whose sum is σ = 5837670365184. Its totient is φ = 665395200000.

The previous prime is 1993455692797. The next prime is 1993455692857. The reversal of 1993455692800 is 82965543991.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 699211375 + ... + 699214225.

Almost surely, 2^{1993455692800} is an apocalyptic number.

1993455692800 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 1993455692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918835182592).

1993455692800 is an abundant number, since it is smaller than the sum of its proper divisors (3844214672384).

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

1993455692800 is a wasteful number, since it uses less digits than its factorization.

1993455692800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 61.

The spelling of 1993455692800 in words is "one trillion, nine hundred ninety-three billion, four hundred fifty-five million, six hundred ninety-two thousand, eight hundred".