10435849920 has 448 divisors, whose sum is σ = 38858342400. Its totient is φ = 2632642560.

The previous prime is 10435849909. The next prime is 10435849999. The reversal of 10435849920 is 2994853401.

10435849920 is a `hidden beast` number, since 1 + 0 + 43 + 584 + 9 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12588066 + ... + 12588894.

Almost surely, 2^10435849920 is an apocalyptic number.

10435849920 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 10435849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19429171200).

10435849920 is an abundant number, since it is smaller than the sum of its proper divisors (28422492480).

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

10435849920 is a wasteful number, since it uses less digits than its factorization.

10435849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 917 counting only the distinct ones).

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

The spelling of 10435849920 in words is "ten billion, four hundred thirty-five million, eight hundred forty-nine thousand, nine hundred twenty".