1893728229120 has 1728 divisors, whose sum is σ = 8485044624000. Its totient is φ = 398770864128.

The previous prime is 1893728229089. The next prime is 1893728229137. The reversal of 1893728229120 is 219228273981.

1893728229120 is a `hidden beast` number, since 189 + 372 + 8 + 2 + 2 + 91 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3720487426 + ... + 3720487934.

It is an arithmetic number, because the mean of its divisors is an integer number (4910326750).

Almost surely, 2^{1893728229120} is an apocalyptic number.

1893728229120 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 1893728229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4242522312000).

1893728229120 is an abundant number, since it is smaller than the sum of its proper divisors (6591316394880).

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

1893728229120 is an equidigital number, since it uses as much as digits as its factorization.

1893728229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 1893728229120 in words is "one trillion, eight hundred ninety-three billion, seven hundred twenty-eight million, two hundred twenty-nine thousand, one hundred twenty".