1890231220800 has 1008 divisors, whose sum is σ = 7465711052800. Its totient is φ = 450888560640.

The previous prime is 1890231220799. The next prime is 1890231220831. The reversal of 1890231220800 is 80221320981.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 14883710337 + ... + 14883710463.

Almost surely, 2^{1890231220800} is an apocalyptic number.

1890231220800 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 1890231220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3732855526400).

1890231220800 is an abundant number, since it is smaller than the sum of its proper divisors (5575479832000).

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

1890231220800 is a wasteful number, since it uses less digits than its factorization.

1890231220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 1890231220800 in words is "one trillion, eight hundred ninety billion, two hundred thirty-one million, two hundred twenty thousand, eight hundred".