10375948800 has 480 divisors, whose sum is σ = 43535606400. Its totient is φ = 2371092480.

The previous prime is 10375948787. The next prime is 10375948841. The reversal of 10375948800 is 884957301.

It is a tau number, because it is divible by the number of its divisors (480).

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

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 47 ways as a sum of consecutive naturals, for example, 2417056 + ... + 2421344.

It is an arithmetic number, because the mean of its divisors is an integer number (90699180).

Almost surely, 2^10375948800 is an apocalyptic number.

10375948800 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 10375948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21767803200).

10375948800 is an abundant number, since it is smaller than the sum of its proper divisors (33159657600).

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

10375948800 is an equidigital number, since it uses as much as digits as its factorization.

10375948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10375948800 in words is "ten billion, three hundred seventy-five million, nine hundred forty-eight thousand, eight hundred".