10789726080 has 1024 divisors, whose sum is σ = 45121536000. Its totient is φ = 2136637440.

The previous prime is 10789726037. The next prime is 10789726093. The reversal of 10789726080 is 8062798701.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 229568617 + ... + 229568663.

It is an arithmetic number, because the mean of its divisors is an integer number (44064000).

Almost surely, 2^10789726080 is an apocalyptic number.

10789726080 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 10789726080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22560768000).

10789726080 is an abundant number, since it is smaller than the sum of its proper divisors (34331809920).

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

10789726080 is a wasteful number, since it uses less digits than its factorization.

10789726080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 10789726080 in words is "ten billion, seven hundred eighty-nine million, seven hundred twenty-six thousand, eighty".