11601007000 has 128 divisors (see below), whose sum is σ = 29682132480. Its totient is φ = 4208880000.

The previous prime is 11601006979. The next prime is 11601007001. The reversal of 11601007000 is 70010611.

11601007000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11601007001) 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 31 ways as a sum of consecutive naturals, for example, 6280077 + ... + 6281923.

It is an arithmetic number, because the mean of its divisors is an integer number (231891660).

Almost surely, 2^11601007000 is an apocalyptic number.

11601007000 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 11601007000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14841066240).

11601007000 is an abundant number, since it is smaller than the sum of its proper divisors (18081125480).

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

11601007000 is a wasteful number, since it uses less digits than its factorization.

11601007000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 16.

Adding to 11601007000 its reverse (70010611), we get a palindrome (11671017611).

The spelling of 11601007000 in words is "eleven billion, six hundred one million, seven thousand".