10824970320 has 480 divisors, whose sum is σ = 41051836800. Its totient is φ = 2540077056.

The previous prime is 10824970241. The next prime is 10824970327. The reversal of 10824970320 is 2307942801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10824970327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20697579 + ... + 20698101.

It is an arithmetic number, because the mean of its divisors is an integer number (85524660).

Almost surely, 2^10824970320 is an apocalyptic number.

10824970320 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 10824970320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20525918400).

10824970320 is an abundant number, since it is smaller than the sum of its proper divisors (30226866480).

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

10824970320 is a wasteful number, since it uses less digits than its factorization.

10824970320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10824970320 in words is "ten billion, eight hundred twenty-four million, nine hundred seventy thousand, three hundred twenty".