10848909600 has 216 divisors, whose sum is σ = 38781900612. Its totient is φ = 2853273600.

The previous prime is 10848909559. The next prime is 10848909607. The reversal of 10848909600 is 690984801.

10848909600 is a `hidden beast` number, since 108 + 489 + 0 + 9 + 60 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2384173584 + 8464736016 = 48828^2 + 92004^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10848909607) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 515280 + ... + 535920.

Almost surely, 2^10848909600 is an apocalyptic number.

10848909600 is a gapful number since it is divisible by the number (10) 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 10848909600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19390950306).

10848909600 is an abundant number, since it is smaller than the sum of its proper divisors (27932991012).

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

10848909600 is a wasteful number, since it uses less digits than its factorization.

10848909600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20740 (or 20724 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 10848909600 in words is "ten billion, eight hundred forty-eight million, nine hundred nine thousand, six hundred".