10795230720 has 320 divisors, whose sum is σ = 39173207040. Its totient is φ = 2816630784.

The previous prime is 10795230701. The next prime is 10795230731. The reversal of 10795230720 is 2703259701.

10795230720 is a `hidden beast` number, since 107 + 9 + 523 + 0 + 7 + 20 = 666.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3246979 + ... + 3250301.

It is an arithmetic number, because the mean of its divisors is an integer number (122416272).

Almost surely, 2^10795230720 is an apocalyptic number.

10795230720 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 10795230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19586603520).

10795230720 is an abundant number, since it is smaller than the sum of its proper divisors (28377976320).

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

10795230720 is an equidigital number, since it uses as much as digits as its factorization.

10795230720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3402 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 10795230720 in words is "ten billion, seven hundred ninety-five million, two hundred thirty thousand, seven hundred twenty".