10235891019168 has 240 divisors, whose sum is σ = 31699280733120. Its totient is φ = 3231222119424.

The previous prime is 10235891019161. The next prime is 10235891019181. The reversal of 10235891019168 is 86191019853201.

It is a happy number.

10235891019168 is a `hidden beast` number, since 1 + 0 + 23 + 589 + 10 + 19 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10235891019161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142142980 + ... + 142214972.

It is an arithmetic number, because the mean of its divisors is an integer number (132080336388).

Almost surely, 2^{10235891019168} is an apocalyptic number.

10235891019168 is a gapful number since it is divisible by the number (18) 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 10235891019168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15849640366560).

10235891019168 is an abundant number, since it is smaller than the sum of its proper divisors (21463389713952).

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

10235891019168 is a wasteful number, since it uses less digits than its factorization.

10235891019168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74921 (or 74904 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 10235891019168 in words is "ten trillion, two hundred thirty-five billion, eight hundred ninety-one million, nineteen thousand, one hundred sixty-eight".