9910397952 has 660 divisors, whose sum is σ = 36986604336. Its totient is φ = 2587852800.

The previous prime is 9910397923. The next prime is 9910397971. The reversal of 9910397952 is 2597930199.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 98122702 + ... + 98122802.

Almost surely, 2^9910397952 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 9910397952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18493302168).

9910397952 is an abundant number, since it is smaller than the sum of its proper divisors (27076206384).

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

9910397952 is a wasteful number, since it uses less digits than its factorization.

9910397952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1377810, while the sum is 54.

The square root of 9910397952 is about 99550.9816727088. The cubic root of 9910397952 is about 2147.9806496181.

It can be divided in two parts, 991039 and 7952, that added together give a triangular number (998991 = T₁₄₁₃).

The spelling of 9910397952 in words is "nine billion, nine hundred ten million, three hundred ninety-seven thousand, nine hundred fifty-two".