10737582080 has 64 divisors (see below), whose sum is σ = 25770196980. Its totient is φ = 4294967296.

The previous prime is 10737582047. The next prime is 10737582161. The reversal of 10737582080 is 8028573701.

It can be written as a sum of positive squares in 2 ways, for example, as 9688858624 + 1048723456 = 98432^2 + 32384^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 4.

It is an unprimeable number.

In principle, a polygon with 10737582080 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131072 + ... + 196608.

Almost surely, 2^10737582080 is an apocalyptic number.

10737582080 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 10737582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12885098490).

10737582080 is an abundant number, since it is smaller than the sum of its proper divisors (15032614900).

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

10737582080 is an frugal number, since it uses more digits than its factorization.

10737582080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65572 (or 65544 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 41.

The spelling of 10737582080 in words is "ten billion, seven hundred thirty-seven million, five hundred eighty-two thousand, eighty".