10528960680 has 192 divisors, whose sum is σ = 39940093440. Its totient is φ = 2355388416.

The previous prime is 10528960643. The next prime is 10528960703. The reversal of 10528960680 is 8606982501.

10528960680 is a `hidden beast` number, since 1 + 0 + 528 + 9 + 60 + 68 + 0 = 666.

It is a super-2 number, since 2×10528960680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73992 + ... + 162888.

It is an arithmetic number, because the mean of its divisors is an integer number (208021320).

Almost surely, 2^10528960680 is an apocalyptic number.

10528960680 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 10528960680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19970046720).

10528960680 is an abundant number, since it is smaller than the sum of its proper divisors (29411132760).

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

10528960680 is a wasteful number, since it uses less digits than its factorization.

10528960680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88968 (or 88961 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10528960680 in words is "ten billion, five hundred twenty-eight million, nine hundred sixty thousand, six hundred eighty".