11617136640 has 520 divisors, whose sum is σ = 42815995200. Its totient is φ = 3011641344.

The previous prime is 11617136623. The next prime is 11617136701. The reversal of 11617136640 is 4663171611.

11617136640 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 7 + 1 + 3 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11617136595 and 11617136604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 77967286 + ... + 77967434.

Almost surely, 2^11617136640 is an apocalyptic number.

11617136640 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 11617136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21407997600).

11617136640 is an abundant number, since it is smaller than the sum of its proper divisors (31198858560).

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

11617136640 is an equidigital number, since it uses as much as digits as its factorization.

11617136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11617136640 in words is "eleven billion, six hundred seventeen million, one hundred thirty-six thousand, six hundred forty".