11600001600 has 672 divisors, whose sum is σ = 45233295360. Its totient is φ = 2571264000.

The previous prime is 11600001571. The next prime is 11600001607. The reversal of 11600001600 is 610000611.

11600001600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11600001600.

It is not an unprimeable number, because it can be changed into a prime (11600001607) 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 95 ways as a sum of consecutive naturals, for example, 31099014 + ... + 31099386.

Almost surely, 2^11600001600 is an apocalyptic number.

11600001600 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 11600001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22616647680).

11600001600 is an abundant number, since it is smaller than the sum of its proper divisors (33633293760).

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

11600001600 is a wasteful number, since it uses less digits than its factorization.

11600001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The spelling of 11600001600 in words is "eleven billion, six hundred million, one thousand, six hundred".