10950912000 has 864 divisors, whose sum is σ = 46389830760. Its totient is φ = 2477260800.

The previous prime is 10950911999. The next prime is 10950912001. The reversal of 10950912000 is 21905901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10950911999) and next prime (10950912001).

It can be written as a sum of positive squares in 4 ways, for example, as 2962842624 + 7988069376 = 54432^2 + 89376^2 .

It is not an unprimeable number, because it can be changed into a prime (10950912001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112895952 + ... + 112896048.

Almost surely, 2^10950912000 is an apocalyptic number.

10950912000 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 10950912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23194915380).

10950912000 is an abundant number, since it is smaller than the sum of its proper divisors (35438918760).

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

10950912000 is an equidigital number, since it uses as much as digits as its factorization.

10950912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The spelling of 10950912000 in words is "ten billion, nine hundred fifty million, nine hundred twelve thousand".