10779525760 has 64 divisors (see below), whose sum is σ = 25870470120. Its totient is φ = 4294967296.

The previous prime is 10779525739. The next prime is 10779525769. The reversal of 10779525760 is 6752597701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10091407936 + 688117824 = 100456^2 + 26232^2 .

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

It is a super-2 number, since 2×10779525760² (a number of 21 digits) contains 22 as substring.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (10779525769) by changing a digit.

In principle, a polygon with 10779525760 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131712 + ... + 197248.

Almost surely, 2^10779525760 is an apocalyptic number.

10779525760 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 10779525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12935235060).

10779525760 is an abundant number, since it is smaller than the sum of its proper divisors (15090944360).

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

10779525760 is an equidigital number, since it uses as much as digits as its factorization.

10779525760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65813 (or 65801 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 49.

The spelling of 10779525760 in words is "ten billion, seven hundred seventy-nine million, five hundred twenty-five thousand, seven hundred sixty".