11073576960 has 896 divisors, whose sum is σ = 45295718400. Its totient is φ = 2548039680.

The previous prime is 11073576953. The next prime is 11073576961. The reversal of 11073576960 is 6967537011.

11073576960 is a `hidden beast` number, since 1 + 1 + 0 + 73 + 576 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11073576961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 357212145 + ... + 357212175.

Almost surely, 2^11073576960 is an apocalyptic number.

11073576960 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 11073576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22647859200).

11073576960 is an abundant number, since it is smaller than the sum of its proper divisors (34222141440).

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

11073576960 is a wasteful number, since it uses less digits than its factorization.

11073576960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 11073576960 in words is "eleven billion, seventy-three million, five hundred seventy-six thousand, nine hundred sixty".