10795680000 has 1350 divisors, whose sum is σ = 49545551286. Its totient is φ = 2322432000.

The previous prime is 10795679989. The next prime is 10795680037. The reversal of 10795680000 is 8659701.

It can be written as a sum of positive squares in 5 ways, for example, as 2747437056 + 8048242944 = 52416^2 + 89712^2 .

It is a tau number, because it is divible by the number of its divisors (1350).

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

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 635039992 + ... + 635040008.

Almost surely, 2^10795680000 is an apocalyptic number.

10795680000 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 10795680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24772775643).

10795680000 is an abundant number, since it is smaller than the sum of its proper divisors (38749871286).

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

10795680000 is an frugal number, since it uses more digits than its factorization.

10795680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 10795680000 in words is "ten billion, seven hundred ninety-five million, six hundred eighty thousand".