9905083872 has 48 divisors (see below), whose sum is σ = 26009367552. Its totient is φ = 3300612480.

The previous prime is 9905083831. The next prime is 9905083907. The reversal of 9905083872 is 2783805099.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×9905083872² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 310323 + ... + 340749.

It is an arithmetic number, because the mean of its divisors is an integer number (541861824).

Almost surely, 2^9905083872 is an apocalyptic number.

It is an amenable number.

9905083872 is an abundant number, since it is smaller than the sum of its proper divisors (16104283680).

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

9905083872 is a wasteful number, since it uses less digits than its factorization.

9905083872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33831 (or 33823 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The square root of 9905083872 is about 99524.2878497505. The cubic root of 9905083872 is about 2147.5966562312.

The spelling of 9905083872 in words is "nine billion, nine hundred five million, eighty-three thousand, eight hundred seventy-two".