10109944689000 has 512 divisors, whose sum is σ = 34487587330560. Its totient is φ = 2450746368000.

The previous prime is 10109944688989. The next prime is 10109944689059. The reversal of 10109944689000 is 98644990101.

10109944689000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10109944689000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2155176655 + ... + 2155181345.

It is an arithmetic number, because the mean of its divisors is an integer number (67358569005).

Almost surely, 2^{10109944689000} is an apocalyptic number.

10109944689000 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 10109944689000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17243793665280).

10109944689000 is an abundant number, since it is smaller than the sum of its proper divisors (24377642641560).

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

10109944689000 is a wasteful number, since it uses less digits than its factorization.

10109944689000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5558 (or 5544 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The spelling of 10109944689000 in words is "ten trillion, one hundred nine billion, nine hundred forty-four million, six hundred eighty-nine thousand".