9985192924960 has 96 divisors (see below), whose sum is σ = 25736866247232. Its totient is φ = 3630654612480.

The previous prime is 9985192924957. The next prime is 9985192924963. The reversal of 9985192924960 is 694292915899.

It is an interprime number because it is at equal distance from previous prime (9985192924957) and next prime (9985192924963).

It is not an unprimeable number, because it can be changed into a prime (9985192924963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19891782 + ... + 20387578.

It is an arithmetic number, because the mean of its divisors is an integer number (268092356742).

Almost surely, 2^{9985192924960} is an apocalyptic number.

It is an amenable number.

9985192924960 is an abundant number, since it is smaller than the sum of its proper divisors (15751673322272).

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

9985192924960 is a wasteful number, since it uses less digits than its factorization.

9985192924960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507266 (or 507258 counting only the distinct ones).

The product of its (nonzero) digits is 226748160, while the sum is 73.

The spelling of 9985192924960 in words is "nine trillion, nine hundred eighty-five billion, one hundred ninety-two million, nine hundred twenty-four thousand, nine hundred sixty".