11067624960 has 640 divisors, whose sum is σ = 43368652800. Its totient is φ = 2353397760.

The previous prime is 11067624949. The next prime is 11067624977. The reversal of 11067624960 is 6942676011.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48330126 + ... + 48330354.

It is an arithmetic number, because the mean of its divisors is an integer number (67763520).

Almost surely, 2^11067624960 is an apocalyptic number.

11067624960 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 11067624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21684326400).

11067624960 is an abundant number, since it is smaller than the sum of its proper divisors (32301027840).

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

11067624960 is a wasteful number, since it uses less digits than its factorization.

11067624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 11067624960 in words is "eleven billion, sixty-seven million, six hundred twenty-four thousand, nine hundred sixty".