10479168000 has 960 divisors, whose sum is σ = 45409807872. Its totient is φ = 2270822400.

The previous prime is 10479167971. The next prime is 10479168013. The reversal of 10479168000 is 86197401.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 92735944 + ... + 92736056.

Almost surely, 2^10479168000 is an apocalyptic number.

10479168000 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 10479168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22704903936).

10479168000 is an abundant number, since it is smaller than the sum of its proper divisors (34930639872).

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

10479168000 is a wasteful number, since it uses less digits than its factorization.

10479168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10479168000 in words is "ten billion, four hundred seventy-nine million, one hundred sixty-eight thousand".