11607126640 has 160 divisors (see below), whose sum is σ = 29569536000. Its totient is φ = 4223662080.

The previous prime is 11607126637. The next prime is 11607126679. The reversal of 11607126640 is 4662170611.

It is a junction number, because it is equal to n+sod(n) for n = 11607126596 and 11607126605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3363636 + ... + 3367084.

It is an arithmetic number, because the mean of its divisors is an integer number (184809600).

Almost surely, 2^11607126640 is an apocalyptic number.

11607126640 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 11607126640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14784768000).

11607126640 is an abundant number, since it is smaller than the sum of its proper divisors (17962409360).

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

11607126640 is a wasteful number, since it uses less digits than its factorization.

11607126640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3575 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 11607126640 in words is "eleven billion, six hundred seven million, one hundred twenty-six thousand, six hundred forty".