1893801666240 has 1008 divisors, whose sum is σ = 7506956044224. Its totient is φ = 437044101120.

The previous prime is 1893801666227. The next prime is 1893801666301. The reversal of 1893801666240 is 426661083981.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2220165654 + ... + 2220166506.

It is an arithmetic number, because the mean of its divisors is an integer number (7447377028).

Almost surely, 2^{1893801666240} is an apocalyptic number.

1893801666240 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 1893801666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753478022112).

1893801666240 is an abundant number, since it is smaller than the sum of its proper divisors (5613154377984).

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

1893801666240 is a wasteful number, since it uses less digits than its factorization.

1893801666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 1893801666240 in words is "one trillion, eight hundred ninety-three billion, eight hundred one million, six hundred sixty-six thousand, two hundred forty".