9975917952 has 768 divisors, whose sum is σ = 39670525440. Its totient is φ = 2322432000.

The previous prime is 9975917923. The next prime is 9975917953. The reversal of 9975917952 is 2597195799.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 9975917952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9975917953) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47279127 + ... + 47279337.

It is an arithmetic number, because the mean of its divisors is an integer number (51654330).

Almost surely, 2^9975917952 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 9975917952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19835262720).

9975917952 is an abundant number, since it is smaller than the sum of its proper divisors (29694607488).

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

9975917952 is a wasteful number, since it uses less digits than its factorization.

9975917952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 288 counting only the distinct ones).

The product of its digits is 16074450, while the sum is 63.

The square root of 9975917952 is about 99879.5171794498. The cubic root of 9975917952 is about 2152.7038599024.

It can be divided in two parts, 99759 and 17952, that added together give a palindrome (117711).

The spelling of 9975917952 in words is "nine billion, nine hundred seventy-five million, nine hundred seventeen thousand, nine hundred fifty-two".