10971408000 has 256 divisors, whose sum is σ = 41567235840. Its totient is φ = 2507673600.

The previous prime is 10971407987. The next prime is 10971408001. The reversal of 10971408000 is 80417901.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10971408001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319674 + ... + 352326.

It is an arithmetic number, because the mean of its divisors is an integer number (162372015).

Almost surely, 2^10971408000 is an apocalyptic number.

10971408000 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 10971408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20783617920).

10971408000 is an abundant number, since it is smaller than the sum of its proper divisors (30595827840).

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

10971408000 is an equidigital number, since it uses as much as digits as its factorization.

10971408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32692 (or 32670 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The spelling of 10971408000 in words is "ten billion, nine hundred seventy-one million, four hundred eight thousand".