10500997248 has 256 divisors, whose sum is σ = 35650713600. Its totient is φ = 2980758528.

The previous prime is 10500997153. The next prime is 10500997249. The reversal of 10500997248 is 84279900501.

10500997248 is a `hidden beast` number, since 10 + 500 + 9 + 97 + 2 + 48 = 666.

It is a super-2 number, since 2×10500997248² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10500997249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3941965 + ... + 3944627.

It is an arithmetic number, because the mean of its divisors is an integer number (139260600).

Almost surely, 2^10500997248 is an apocalyptic number.

10500997248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10500997248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17825356800).

10500997248 is an abundant number, since it is smaller than the sum of its proper divisors (25149716352).

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

10500997248 is a wasteful number, since it uses less digits than its factorization.

10500997248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 10500997248 in words is "ten billion, five hundred million, nine hundred ninety-seven thousand, two hundred forty-eight".