11817707000 has 192 divisors, whose sum is σ = 30728617920. Its totient is φ = 4250400000.

The previous prime is 11817706993. The next prime is 11817707051. The reversal of 11817707000 is 70771811.

11817707000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12220517 + ... + 12221483.

It is an arithmetic number, because the mean of its divisors is an integer number (160044885).

Almost surely, 2^11817707000 is an apocalyptic number.

11817707000 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 11817707000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15364308960).

11817707000 is an abundant number, since it is smaller than the sum of its proper divisors (18910910920).

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

11817707000 is a wasteful number, since it uses less digits than its factorization.

11817707000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 32.

It can be divided in two parts, 11817 and 707000, that added together give a palindrome (718817).

The spelling of 11817707000 in words is "eleven billion, eight hundred seventeen million, seven hundred seven thousand".