11950210960000 has 640 divisors, whose sum is σ = 31976183408400. Its totient is φ = 4438425600000.

The previous prime is 11950210959991. The next prime is 11950210960007. The reversal of 11950210960000 is 6901205911.

It is a happy number.

It can be written as a sum of positive squares in 40 ways, for example, as 10222752868416 + 1727458091584 = 3197304^2 + 1314328^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (11950210960007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6943759140 + ... + 6943760860.

Almost surely, 2^{11950210960000} is an apocalyptic number.

11950210960000 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 11950210960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15988091704200).

11950210960000 is an abundant number, since it is smaller than the sum of its proper divisors (20025972448400).

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

11950210960000 is an equidigital number, since it uses as much as digits as its factorization.

11950210960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 34.

The spelling of 11950210960000 in words is "eleven trillion, nine hundred fifty billion, two hundred ten million, nine hundred sixty thousand".