10824295680 has 360 divisors, whose sum is σ = 42256789344. Its totient is φ = 2623795200.

The previous prime is 10824295639. The next prime is 10824295681. The reversal of 10824295680 is 8659242801.

10824295680 is a `hidden beast` number, since 1 + 0 + 82 + 4 + 2 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10824295681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1135735 + ... + 1145225.

Almost surely, 2^10824295680 is an apocalyptic number.

10824295680 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 10824295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21128394672).

10824295680 is an abundant number, since it is smaller than the sum of its proper divisors (31432493664).

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

10824295680 is an equidigital number, since it uses as much as digits as its factorization.

10824295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9535 (or 9512 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 10824295680 in words is "ten billion, eight hundred twenty-four million, two hundred ninety-five thousand, six hundred eighty".