190821119104 has 512 divisors, whose sum is σ = 518192640000. Its totient is φ = 67735388160.

The previous prime is 190821119089. The next prime is 190821119107. The reversal of 190821119104 is 401911128091.

It is a super-2 number, since 2×190821119104² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (190821119107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 958899997 + ... + 958900195.

It is an arithmetic number, because the mean of its divisors is an integer number (1012095000).

Almost surely, 2^190821119104 is an apocalyptic number.

190821119104 is a gapful number since it is divisible by the number (14) 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 190821119104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259096320000).

190821119104 is an abundant number, since it is smaller than the sum of its proper divisors (327371520896).

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

190821119104 is a wasteful number, since it uses less digits than its factorization.

190821119104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 37.

The spelling of 190821119104 in words is "one hundred ninety billion, eight hundred twenty-one million, one hundred nineteen thousand, one hundred four".