11583077000 has 64 divisors (see below), whose sum is σ = 29568464640. Its totient is φ = 4212024000.

The previous prime is 11583076997. The next prime is 11583077003. The reversal of 11583077000 is 77038511.

11583077000 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 (11583076997) and next prime (11583077003).

It is not an unprimeable number, because it can be changed into a prime (11583077003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 515504 + ... + 537503.

It is an arithmetic number, because the mean of its divisors is an integer number (462007260).

Almost surely, 2^11583077000 is an apocalyptic number.

11583077000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11583077000 is an abundant number, since it is smaller than the sum of its proper divisors (17985387640).

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

11583077000 is a wasteful number, since it uses less digits than its factorization.

11583077000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053039 (or 1053025 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 32.

The spelling of 11583077000 in words is "eleven billion, five hundred eighty-three million, seventy-seven thousand".