11770653440 has 288 divisors, whose sum is σ = 34998512640. Its totient is φ = 3693330432.

The previous prime is 11770653431. The next prime is 11770653451. The reversal of 11770653440 is 4435607711.

11770653440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11770653394 and 11770653403.

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 31 ways as a sum of consecutive naturals, for example, 16190357 + ... + 16191083.

Almost surely, 2^11770653440 is an apocalyptic number.

11770653440 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 11770653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17499256320).

11770653440 is an abundant number, since it is smaller than the sum of its proper divisors (23227859200).

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

11770653440 is a wasteful number, since it uses less digits than its factorization.

11770653440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The spelling of 11770653440 in words is "eleven billion, seven hundred seventy million, six hundred fifty-three thousand, four hundred forty".