10875945600 has 768 divisors, whose sum is σ = 44834630400. Its totient is φ = 2554675200.

The previous prime is 10875945547. The next prime is 10875945611. The reversal of 10875945600 is 654957801.

10875945600 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 594 + 56 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25833390 + ... + 25833810.

It is an arithmetic number, because the mean of its divisors is an integer number (58378425).

Almost surely, 2^10875945600 is an apocalyptic number.

10875945600 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 10875945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22417315200).

10875945600 is an abundant number, since it is smaller than the sum of its proper divisors (33958684800).

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

10875945600 is a wasteful number, since it uses less digits than its factorization.

10875945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 10875945600 in words is "ten billion, eight hundred seventy-five million, nine hundred forty-five thousand, six hundred".