10389295224 has 480 divisors, whose sum is σ = 38190620160. Its totient is φ = 2578055040.

The previous prime is 10389295199. The next prime is 10389295229. The reversal of 10389295224 is 42259298301.

10389295224 is a `hidden beast` number, since 1 + 0 + 38 + 92 + 9 + 522 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10389295224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10389295229) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12623277 + ... + 12624099.

It is an arithmetic number, because the mean of its divisors is an integer number (79563792).

Almost surely, 2^10389295224 is an apocalyptic number.

10389295224 is a gapful number since it is divisible by the number (14) 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 10389295224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19095310080).

10389295224 is an abundant number, since it is smaller than the sum of its proper divisors (27801324936).

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

10389295224 is a wasteful number, since it uses less digits than its factorization.

10389295224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10389295224 in words is "ten billion, three hundred eighty-nine million, two hundred ninety-five thousand, two hundred twenty-four".