10917562880 has 160 divisors (see below), whose sum is σ = 30141213696. Its totient is φ = 3715006464.

The previous prime is 10917562847. The next prime is 10917562883. The reversal of 10917562880 is 8826571901.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (10917562883) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2452817 + ... + 2457263.

Almost surely, 2^10917562880 is an apocalyptic number.

10917562880 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 10917562880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15070606848).

10917562880 is an abundant number, since it is smaller than the sum of its proper divisors (19223650816).

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

10917562880 is an equidigital number, since it uses as much as digits as its factorization.

10917562880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4614 (or 4598 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 47.

The spelling of 10917562880 in words is "ten billion, nine hundred seventeen million, five hundred sixty-two thousand, eight hundred eighty".