10948618880 has 64 divisors (see below), whose sum is σ = 26227260000. Its totient is φ = 4370543616.

The previous prime is 10948618873. The next prime is 10948618921. The reversal of 10948618880 is 8881684901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302219 + ... + 336501.

Almost surely, 2^10948618880 is an apocalyptic number.

10948618880 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 10948618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13113630000).

10948618880 is an abundant number, since it is smaller than the sum of its proper divisors (15278641120).

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

10948618880 is an equidigital number, since it uses as much as digits as its factorization.

10948618880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34801 (or 34789 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 53.

The spelling of 10948618880 in words is "ten billion, nine hundred forty-eight million, six hundred eighteen thousand, eight hundred eighty".