10824264280 has 64 divisors (see below), whose sum is σ = 25682342400. Its totient is φ = 4094478720.

The previous prime is 10824264263. The next prime is 10824264287. The reversal of 10824264280 is 8246242801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10824264287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421489 + ... + 446431.

It is an arithmetic number, because the mean of its divisors is an integer number (401286600).

Almost surely, 2^10824264280 is an apocalyptic number.

10824264280 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 10824264280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12841171200).

10824264280 is an abundant number, since it is smaller than the sum of its proper divisors (14858078120).

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

10824264280 is a wasteful number, since it uses less digits than its factorization.

10824264280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25544 (or 25540 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The spelling of 10824264280 in words is "ten billion, eight hundred twenty-four million, two hundred sixty-four thousand, two hundred eighty".