11670254039808 has 2700 divisors, whose sum is σ = 46906408820040. Its totient is φ = 2875932573696.

The previous prime is 11670254039779. The next prime is 11670254039849. The reversal of 11670254039808 is 80893045207611.

11670254039808 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 0 + 2 + 540 + 3 + 98 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 159866493660 + ... + 159866493732.

It is a 2-persistent number, because it is pandigital, and so is 2⋅11670254039808 = 23340508079616, but 3⋅11670254039808 = 35010762119424 is not.

Almost surely, 2^{11670254039808} is an apocalyptic number.

11670254039808 is a gapful number since it is divisible by the number (18) 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 11670254039808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23453204410020).

11670254039808 is an abundant number, since it is smaller than the sum of its proper divisors (35236154780232).

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

11670254039808 is an frugal number, since it uses more digits than its factorization.

11670254039808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 11670254039808 in words is "eleven trillion, six hundred seventy billion, two hundred fifty-four million, thirty-nine thousand, eight hundred eight".