10090897569792 has 288 divisors, whose sum is σ = 32398722195840. Its totient is φ = 3004731555840.

The previous prime is 10090897569769. The next prime is 10090897569821. The reversal of 10090897569792 is 29796579809001.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 10090897569792.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6748858 + ... + 8107334.

It is an arithmetic number, because the mean of its divisors is an integer number (112495563180).

Almost surely, 2^{10090897569792} is an apocalyptic number.

10090897569792 is a gapful number since it is divisible by the number (12) 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 10090897569792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16199361097920).

10090897569792 is an abundant number, since it is smaller than the sum of its proper divisors (22307824626048).

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

10090897569792 is a wasteful number, since it uses less digits than its factorization.

10090897569792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358549 (or 1358526 counting only the distinct ones).

The product of its (nonzero) digits is 154314720, while the sum is 72.

The spelling of 10090897569792 in words is "ten trillion, ninety billion, eight hundred ninety-seven million, five hundred sixty-nine thousand, seven hundred ninety-two".