10795255680 has 512 divisors, whose sum is σ = 40260395520. Its totient is φ = 2431385600.

The previous prime is 10795255613. The next prime is 10795255693. The reversal of 10795255680 is 8655259701.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 38417140 + ... + 38417420.

It is an arithmetic number, because the mean of its divisors is an integer number (78633585).

Almost surely, 2^10795255680 is an apocalyptic number.

10795255680 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 10795255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20130197760).

10795255680 is an abundant number, since it is smaller than the sum of its proper divisors (29465139840).

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

10795255680 is a wasteful number, since it uses less digits than its factorization.

10795255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 48.

The spelling of 10795255680 in words is "ten billion, seven hundred ninety-five million, two hundred fifty-five thousand, six hundred eighty".