10229687520 has 192 divisors, whose sum is σ = 35822352384. Its totient is φ = 2436802560.

The previous prime is 10229687509. The next prime is 10229687521. The reversal of 10229687520 is 2578692201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10229687521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166999 + ... + 219881.

It is an arithmetic number, because the mean of its divisors is an integer number (186574752).

Almost surely, 2^10229687520 is an apocalyptic number.

10229687520 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 10229687520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17911176192).

10229687520 is an abundant number, since it is smaller than the sum of its proper divisors (25592664864).

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

10229687520 is a wasteful number, since it uses less digits than its factorization.

10229687520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52945 (or 52937 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 10229687520 in words is "ten billion, two hundred twenty-nine million, six hundred eighty-seven thousand, five hundred twenty".