10109289597792 has 1152 divisors, whose sum is σ = 36222100992000. Its totient is φ = 2433711329280.

The previous prime is 10109289597787. The next prime is 10109289597793. The reversal of 10109289597792 is 29779598290101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10109289597793) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23027994309 + ... + 23027994747.

It is an arithmetic number, because the mean of its divisors is an integer number (31442796000).

Almost surely, 2^{10109289597792} is an apocalyptic number.

10109289597792 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 10109289597792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18111050496000).

10109289597792 is an abundant number, since it is smaller than the sum of its proper divisors (26112811394208).

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

10109289597792 is a wasteful number, since it uses less digits than its factorization.

10109289597792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 69.

The spelling of 10109289597792 in words is "ten trillion, one hundred nine billion, two hundred eighty-nine million, five hundred ninety-seven thousand, seven hundred ninety-two".