10949230080 has 280 divisors, whose sum is σ = 39367437912. Its totient is φ = 2919297024.

The previous prime is 10949230009. The next prime is 10949230081. The reversal of 10949230080 is 8003294901.

10949230080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10949230081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1863307 + ... + 1869173.

Almost surely, 2^10949230080 is an apocalyptic number.

10949230080 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 10949230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19683718956).

10949230080 is an abundant number, since it is smaller than the sum of its proper divisors (28418207832).

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

10949230080 is an frugal number, since it uses more digits than its factorization.

10949230080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5908 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10949230080 in words is "ten billion, nine hundred forty-nine million, two hundred thirty thousand, eighty".