10870848000 has 560 divisors, whose sum is σ = 40816546056. Its totient is φ = 2886451200.

The previous prime is 10870847987. The next prime is 10870848029. The reversal of 10870848000 is 84807801.

10870848000 is a `hidden beast` number, since 108 + 70 + 8 + 480 + 0 + 0 = 666.

10870848000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1755945216 + 9114902784 = 41904^2 + 95472^2 .

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 (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 46655884 + ... + 46656116.

Almost surely, 2^10870848000 is an apocalyptic number.

10870848000 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 10870848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20408273028).

10870848000 is an abundant number, since it is smaller than the sum of its proper divisors (29945698056).

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

10870848000 is an frugal number, since it uses more digits than its factorization.

10870848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 10870848000 in words is "ten billion, eight hundred seventy million, eight hundred forty-eight thousand".