11017662720 has 144 divisors (see below), whose sum is σ = 35500453632. Its totient is φ = 2911928320.

The previous prime is 11017662701. The next prime is 11017662767. The reversal of 11017662720 is 2726671011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421225 + ... + 446615.

It is an arithmetic number, because the mean of its divisors is an integer number (246530928).

Almost surely, 2^11017662720 is an apocalyptic number.

11017662720 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 11017662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17750226816).

11017662720 is an abundant number, since it is smaller than the sum of its proper divisors (24482790912).

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

11017662720 is a wasteful number, since it uses less digits than its factorization.

11017662720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25528 (or 25514 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The spelling of 11017662720 in words is "eleven billion, seventeen million, six hundred sixty-two thousand, seven hundred twenty".