10955412000 has 1008 divisors, whose sum is σ = 46169133192. Its totient is φ = 2538086400.

The previous prime is 10955411993. The next prime is 10955412019. The reversal of 10955412000 is 21455901.

10955412000 is a `hidden beast` number, since 10 + 95 + 541 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 138579984 + 10816832016 = 11772^2 + 104004^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 644435992 + ... + 644436008.

Almost surely, 2^10955412000 is an apocalyptic number.

10955412000 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 10955412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23084566596).

10955412000 is an abundant number, since it is smaller than the sum of its proper divisors (35213721192).

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

10955412000 is an equidigital number, since it uses as much as digits as its factorization.

10955412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 10955412000 its reverse (21455901), we get a palindrome (10976867901).

The spelling of 10955412000 in words is "ten billion, nine hundred fifty-five million, four hundred twelve thousand".