1909191101000 has 64 divisors (see below), whose sum is σ = 4470928375680. Its totient is φ = 763091620800.

The previous prime is 1909191100967. The next prime is 1909191101023. The reversal of 1909191101000 is 1011919091.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576629 + ... + 2037371.

It is an arithmetic number, because the mean of its divisors is an integer number (69858255870).

Almost surely, 2^{1909191101000} is an apocalyptic number.

1909191101000 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 1909191101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235464187840).

1909191101000 is an abundant number, since it is smaller than the sum of its proper divisors (2561737274680).

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

1909191101000 is a wasteful number, since it uses less digits than its factorization.

1909191101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462071 (or 1462057 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 32.

The spelling of 1909191101000 in words is "one trillion, nine hundred nine billion, one hundred ninety-one million, one hundred one thousand".