10869726720 has 320 divisors, whose sum is σ = 36882996480. Its totient is φ = 2723217408.

The previous prime is 10869726719. The next prime is 10869726733. The reversal of 10869726720 is 2762796801.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10869726720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23784732 + ... + 23785188.

It is an arithmetic number, because the mean of its divisors is an integer number (115259364).

Almost surely, 2^10869726720 is an apocalyptic number.

10869726720 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 10869726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18441498240).

10869726720 is an abundant number, since it is smaller than the sum of its proper divisors (26013269760).

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

10869726720 is a wasteful number, since it uses less digits than its factorization.

10869726720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 10869726720 in words is "ten billion, eight hundred sixty-nine million, seven hundred twenty-six thousand, seven hundred twenty".