11067904572480 has 1344 divisors, whose sum is σ = 45524172096000. Its totient is φ = 2466118287360.

The previous prime is 11067904572479. The next prime is 11067904572493. The reversal of 11067904572480 is 8427540976011.

11067904572480 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 7 + 90 + 4 + 5 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9371637490 + ... + 9371638670.

Almost surely, 2^{11067904572480} is an apocalyptic number.

11067904572480 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 11067904572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22762086048000).

11067904572480 is an abundant number, since it is smaller than the sum of its proper divisors (34456267523520).

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

11067904572480 is a wasteful number, since it uses less digits than its factorization.

11067904572480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 11067904572480 in words is "eleven trillion, sixty-seven billion, nine hundred four million, five hundred seventy-two thousand, four hundred eighty".