9765505248 has 96 divisors (see below), whose sum is σ = 26155936800. Its totient is φ = 3189129216.

The previous prime is 9765505241. The next prime is 9765505249. The reversal of 9765505248 is 8425055679.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 9765505248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9765505241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6557688 + ... + 6559176.

It is an arithmetic number, because the mean of its divisors is an integer number (272457675).

Almost surely, 2^9765505248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9765505248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13077968400).

9765505248 is an abundant number, since it is smaller than the sum of its proper divisors (16390431552).

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

9765505248 is a wasteful number, since it uses less digits than its factorization.

9765505248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The square root of 9765505248 is about 98820.5709758854. The cubic root of 9765505248 is about 2137.4611963271.

The spelling of 9765505248 in words is "nine billion, seven hundred sixty-five million, five hundred five thousand, two hundred forty-eight".