10809279360 has 1024 divisors, whose sum is σ = 45650304000. Its totient is φ = 2388787200.

The previous prime is 10809279347. The next prime is 10809279427. The reversal of 10809279360 is 6397290801.

10809279360 is a `hidden beast` number, since 10 + 8 + 0 + 9 + 279 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 148072284 + ... + 148072356.

It is an arithmetic number, because the mean of its divisors is an integer number (44580375).

Almost surely, 2^10809279360 is an apocalyptic number.

10809279360 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 10809279360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22825152000).

10809279360 is an abundant number, since it is smaller than the sum of its proper divisors (34841024640).

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

10809279360 is a wasteful number, since it uses less digits than its factorization.

10809279360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 10809279360 in words is "ten billion, eight hundred nine million, two hundred seventy-nine thousand, three hundred sixty".