11067760000 has 160 divisors (see below), whose sum is σ = 30059659080. Its totient is φ = 4024320000.

The previous prime is 11067759973. The next prime is 11067760001. The reversal of 11067760000 is 6776011.

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

It is a super-2 number, since 2×11067760000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11067760001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 873712 + ... + 886288.

Almost surely, 2^11067760000 is an apocalyptic number.

11067760000 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 11067760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15029829540).

11067760000 is an abundant number, since it is smaller than the sum of its proper divisors (18991899080).

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

11067760000 is an equidigital number, since it uses as much as digits as its factorization.

11067760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12622 (or 12595 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The spelling of 11067760000 in words is "eleven billion, sixty-seven million, seven hundred sixty thousand".