10191814889920 has 112 divisors (see below), whose sum is σ = 24452633157120. Its totient is φ = 4045944075264.

The previous prime is 10191814889911. The next prime is 10191814889939. The reversal of 10191814889920 is 2998841819101.

It is a congruent number.

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, 128374077 + ... + 128453443.

It is an arithmetic number, because the mean of its divisors is an integer number (218327081760).

Almost surely, 2^{10191814889920} is an apocalyptic number.

10191814889920 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 10191814889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12226316578560).

10191814889920 is an abundant number, since it is smaller than the sum of its proper divisors (14260818267200).

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

10191814889920 is a wasteful number, since it uses less digits than its factorization.

10191814889920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82410 (or 82400 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 61.

The spelling of 10191814889920 in words is "ten trillion, one hundred ninety-one billion, eight hundred fourteen million, eight hundred eighty-nine thousand, nine hundred twenty".