11660950080 has 896 divisors, whose sum is σ = 48666562560. Its totient is φ = 2601123840.

The previous prime is 11660950069. The next prime is 11660950099. The reversal of 11660950080 is 8005906611.

11660950080 is a `hidden beast` number, since 1 + 16 + 60 + 9 + 500 + 80 = 666.

11660950080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 127 ways as a sum of consecutive naturals, for example, 59192542 + ... + 59192738.

It is an arithmetic number, because the mean of its divisors is an integer number (54315360).

Almost surely, 2^11660950080 is an apocalyptic number.

11660950080 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 11660950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24333281280).

11660950080 is an abundant number, since it is smaller than the sum of its proper divisors (37005612480).

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

11660950080 is a wasteful number, since it uses less digits than its factorization.

11660950080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 11660950080 in words is "eleven billion, six hundred sixty million, nine hundred fifty thousand, eighty".