801191118000 has 640 divisors, whose sum is σ = 3265131018240. Its totient is φ = 164469657600.

The previous prime is 801191117927. The next prime is 801191118017. The reversal of 801191118000 is 811191108.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20182171 + ... + 20221829.

It is an arithmetic number, because the mean of its divisors is an integer number (5101767216).

Almost surely, 2^801191118000 is an apocalyptic number.

801191118000 is a gapful number since it is divisible by the number (80) 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 801191118000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632565509120).

801191118000 is an abundant number, since it is smaller than the sum of its proper divisors (2463939900240).

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

801191118000 is a wasteful number, since it uses less digits than its factorization.

801191118000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39742 (or 39726 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 30.

The spelling of 801191118000 in words is "eight hundred one billion, one hundred ninety-one million, one hundred eighteen thousand".