11611611000 has 384 divisors, whose sum is σ = 43642722240. Its totient is φ = 2760576000.

The previous prime is 11611610993. The next prime is 11611611029. The reversal of 11611611000 is 11611611.

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 95 ways as a sum of consecutive naturals, for example, 5245894 + ... + 5248106.

Almost surely, 2^11611611000 is an apocalyptic number.

11611611000 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 11611611000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21821361120).

11611611000 is an abundant number, since it is smaller than the sum of its proper divisors (32031111240).

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

11611611000 is a wasteful number, since it uses less digits than its factorization.

11611611000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

11611611000 divided by its reverse (11611611) gives a cube (1000 = 10³).

It can be divided in two parts, 1161 and 1611000, that added together give a palindrome (1612161).

The spelling of 11611611000 in words is "eleven billion, six hundred eleven million, six hundred eleven thousand".