10485759424 has 224 divisors, whose sum is σ = 25468600320. Its totient is φ = 4189363200.

The previous prime is 10485759413. The next prime is 10485759437. The reversal of 10485759424 is 42495758401.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54899169 + ... + 54899359.

Almost surely, 2^10485759424 is an apocalyptic number.

10485759424 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 10485759424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12734300160).

10485759424 is an abundant number, since it is smaller than the sum of its proper divisors (14982840896).

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

10485759424 is a wasteful number, since it uses less digits than its factorization.

10485759424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

The spelling of 10485759424 in words is "ten billion, four hundred eighty-five million, seven hundred fifty-nine thousand, four hundred twenty-four".