11660827500 has 960 divisors, whose sum is σ = 47864678400. Its totient is φ = 2395008000.

The previous prime is 11660827487. The next prime is 11660827513. The reversal of 11660827500 is 572806611.

11660827500 is a `hidden beast` number, since 1 + 16 + 60 + 82 + 7 + 500 = 666.

11660827500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11660827487) and next prime (11660827513).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 319 ways as a sum of consecutive naturals, for example, 315157482 + ... + 315157518.

It is an arithmetic number, because the mean of its divisors is an integer number (49859040).

Almost surely, 2^11660827500 is an apocalyptic number.

11660827500 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 11660827500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23932339200).

11660827500 is an abundant number, since it is smaller than the sum of its proper divisors (36203850900).

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

11660827500 is a wasteful number, since it uses less digits than its factorization.

11660827500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

It can be divided in two parts, 11660 and 827500, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 11660827500 in words is "eleven billion, six hundred sixty million, eight hundred twenty-seven thousand, five hundred".