11850670080 has 672 divisors, whose sum is σ = 45635436288. Its totient is φ = 2831155200.

The previous prime is 11850670037. The next prime is 11850670087. The reversal of 11850670080 is 8007605811.

11850670080 is a `hidden beast` number, since 1 + 1 + 8 + 506 + 70 + 0 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11850670087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194273250 + ... + 194273310.

Almost surely, 2^11850670080 is an apocalyptic number.

11850670080 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 11850670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22817718144).

11850670080 is an abundant number, since it is smaller than the sum of its proper divisors (33784766208).

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

11850670080 is a wasteful number, since it uses less digits than its factorization.

11850670080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 11850670080 in words is "eleven billion, eight hundred fifty million, six hundred seventy thousand, eighty".