9905162960 has 80 divisors (see below), whose sum is σ = 28712126592. Its totient is φ = 3087321600.

The previous prime is 9905162833. The next prime is 9905162983. The reversal of 9905162960 is 692615099.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×9905162960² (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 15 ways as a sum of consecutive naturals, for example, 797831 + ... + 810150.

Almost surely, 2^9905162960 is an apocalyptic number.

It is an amenable number.

9905162960 is an abundant number, since it is smaller than the sum of its proper divisors (18806963632).

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

9905162960 is a wasteful number, since it uses less digits than its factorization.

9905162960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608012 (or 1608006 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 47.

The square root of 9905162960 is about 99524.6851791052. The cubic root of 9905162960 is about 2147.6023721065.

The spelling of 9905162960 in words is "nine billion, nine hundred five million, one hundred sixty-two thousand, nine hundred sixty".