10500777680 has 80 divisors (see below), whose sum is σ = 24794819280. Its totient is φ = 4135305216.

The previous prime is 10500777631. The next prime is 10500777739. The reversal of 10500777680 is 8677700501.

It can be written as a sum of positive squares in 8 ways, for example, as 122058304 + 10378719376 = 11048^2 + 101876^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10500777680² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1525286 + ... + 1532154.

It is an arithmetic number, because the mean of its divisors is an integer number (309935241).

Almost surely, 2^10500777680 is an apocalyptic number.

10500777680 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 10500777680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12397409640).

10500777680 is an abundant number, since it is smaller than the sum of its proper divisors (14294041600).

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

10500777680 is a wasteful number, since it uses less digits than its factorization.

10500777680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7176 (or 7170 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 41.

The spelling of 10500777680 in words is "ten billion, five hundred million, seven hundred seventy-seven thousand, six hundred eighty".