11608002000 has 960 divisors, whose sum is σ = 50014298880. Its totient is φ = 2564352000.

The previous prime is 11608001989. The next prime is 11608002031. The reversal of 11608002000 is 20080611.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 108485947 + ... + 108486053.

It is an arithmetic number, because the mean of its divisors is an integer number (52098228).

Almost surely, 2^11608002000 is an apocalyptic number.

11608002000 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 11608002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25007149440).

11608002000 is an abundant number, since it is smaller than the sum of its proper divisors (38406296880).

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

11608002000 is a wasteful number, since it uses less digits than its factorization.

11608002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11608002000 its reverse (20080611), we get a palindrome (11628082611).

The spelling of 11608002000 in words is "eleven billion, six hundred eight million, two thousand".