11017056960 has 672 divisors, whose sum is σ = 47148122112. Its totient is φ = 2299207680.

The previous prime is 11017056937. The next prime is 11017057003. The reversal of 11017056960 is 6965071011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 33283995 + ... + 33284325.

It is an arithmetic number, because the mean of its divisors is an integer number (70160896).

Almost surely, 2^11017056960 is an apocalyptic number.

11017056960 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 11017056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23574061056).

11017056960 is an abundant number, since it is smaller than the sum of its proper divisors (36131065152).

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

11017056960 is a wasteful number, since it uses less digits than its factorization.

11017056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 11017056960 in words is "eleven billion, seventeen million, fifty-six thousand, nine hundred sixty".