11061620640 has 864 divisors, whose sum is σ = 47683883520. Its totient is φ = 2320109568.

The previous prime is 11061620627. The next prime is 11061620653. The reversal of 11061620640 is 4602616011.

11061620640 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 16 + 2 + 0 + 640 = 666.

11061620640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11061620627) and next prime (11061620653).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49603569 + ... + 49603791.

It is an arithmetic number, because the mean of its divisors is an integer number (55189680).

Almost surely, 2^11061620640 is an apocalyptic number.

11061620640 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 11061620640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23841941760).

11061620640 is an abundant number, since it is smaller than the sum of its proper divisors (36622262880).

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

11061620640 is a wasteful number, since it uses less digits than its factorization.

11061620640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 11061620640 in words is "eleven billion, sixty-one million, six hundred twenty thousand, six hundred forty".