10961316948000 has 96 divisors (see below), whose sum is σ = 35909274360960. Its totient is φ = 2923017849600.

The previous prime is 10961316947953. The next prime is 10961316948019. The reversal of 10961316948000 is 84961316901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456709540 + ... + 456733539.

It is an arithmetic number, because the mean of its divisors is an integer number (374054941260).

Almost surely, 2^{10961316948000} is an apocalyptic number.

10961316948000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10961316948000 is an abundant number, since it is smaller than the sum of its proper divisors (24947957412960).

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

10961316948000 is an equidigital number, since it uses as much as digits as its factorization.

10961316948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913443107 (or 913443089 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 10961316948000 in words is "ten trillion, nine hundred sixty-one billion, three hundred sixteen million, nine hundred forty-eight thousand".