10224688320 has 1120 divisors, whose sum is σ = 46735349760. Its totient is φ = 2060328960.

The previous prime is 10224688297. The next prime is 10224688321. The reversal of 10224688320 is 2388642201.

10224688320 is a `hidden beast` number, since 10 + 2 + 246 + 88 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×10224688320² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10224688321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 93804426 + ... + 93804534.

Almost surely, 2^10224688320 is an apocalyptic number.

10224688320 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 10224688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23367674880).

10224688320 is an abundant number, since it is smaller than the sum of its proper divisors (36510661440).

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

10224688320 is a wasteful number, since it uses less digits than its factorization.

10224688320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10224688320 in words is "ten billion, two hundred twenty-four million, six hundred eighty-eight thousand, three hundred twenty".