11600206464 has 256 divisors, whose sum is σ = 38556979200. Its totient is φ = 3002019840.

The previous prime is 11600206399. The next prime is 11600206489. The reversal of 11600206464 is 46460200611.

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, 10850922 + ... + 10851990.

It is an arithmetic number, because the mean of its divisors is an integer number (150613200).

Almost surely, 2^11600206464 is an apocalyptic number.

11600206464 is a gapful number since it is divisible by the number (14) 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 11600206464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19278489600).

11600206464 is an abundant number, since it is smaller than the sum of its proper divisors (26956772736).

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

11600206464 is a wasteful number, since it uses less digits than its factorization.

11600206464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 11600206464 in words is "eleven billion, six hundred million, two hundred six thousand, four hundred sixty-four".