10909086720 has 352 divisors, whose sum is σ = 40137182976. Its totient is φ = 2477260800.

The previous prime is 10909086679. The next prime is 10909086731. The reversal of 10909086720 is 2768090901.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 25912110 + ... + 25912530.

It is an arithmetic number, because the mean of its divisors is an integer number (114026088).

Almost surely, 2^10909086720 is an apocalyptic number.

10909086720 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 10909086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20068591488).

10909086720 is an abundant number, since it is smaller than the sum of its proper divisors (29228096256).

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

10909086720 is a wasteful number, since it uses less digits than its factorization.

10909086720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 10909086720 in words is "ten billion, nine hundred nine million, eighty-six thousand, seven hundred twenty".