10949541120000 has 2880 divisors, whose sum is σ = 48279337666560. Its totient is φ = 2426609664000.

The previous prime is 10949541119999. The next prime is 10949541120053. The reversal of 10949541120000 is 2114594901.

It is a happy number.

10949541120000 is a `hidden beast` number, since 1 + 0 + 9 + 495 + 41 + 120 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 102332159947 + ... + 102332160053.

It is an arithmetic number, because the mean of its divisors is an integer number (16763658912).

Almost surely, 2^{10949541120000} is an apocalyptic number.

10949541120000 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 10949541120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24139668833280).

10949541120000 is an abundant number, since it is smaller than the sum of its proper divisors (37329796546560).

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

10949541120000 is an frugal number, since it uses more digits than its factorization.

10949541120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 10949541120000 in words is "ten trillion, nine hundred forty-nine billion, five hundred forty-one million, one hundred twenty thousand".