11836661760 has 896 divisors, whose sum is σ = 52845004800. Its totient is φ = 2441871360.

The previous prime is 11836661717. The next prime is 11836661801. The reversal of 11836661760 is 6716663811.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85155771 + ... + 85155909.

It is an arithmetic number, because the mean of its divisors is an integer number (58978800).

Almost surely, 2^11836661760 is an apocalyptic number.

11836661760 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 11836661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26422502400).

11836661760 is an abundant number, since it is smaller than the sum of its proper divisors (41008343040).

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

11836661760 is a wasteful number, since it uses less digits than its factorization.

11836661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 11836661760 in words is "eleven billion, eight hundred thirty-six million, six hundred sixty-one thousand, seven hundred sixty".