1900800000000 has 1080 divisors, whose sum is σ = 7679761692960. Its totient is φ = 460800000000.

The previous prime is 1900799999999. The next prime is 1900800000017. The reversal of 1900800000000 is 80091.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×1900800000000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 172799999995 + ... + 172800000005.

Almost surely, 2^{1900800000000} is an apocalyptic number.

1900800000000 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 1900800000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3839880846480).

1900800000000 is an abundant number, since it is smaller than the sum of its proper divisors (5778961692960).

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

1900800000000 is an frugal number, since it uses more digits than its factorization.

1900800000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1900800000000 its reverse (80091), we get a palindrome (1900800080091).

The spelling of 1900800000000 in words is "one trillion, nine hundred billion, eight hundred million", and thus it is an aban number.