11850349428000 has 576 divisors, whose sum is σ = 42312983731200. Its totient is φ = 3140905420800.

The previous prime is 11850349427993. The next prime is 11850349428077. The reversal of 11850349428000 is 82494305811.

11850349428000 is a `hidden beast` number, since 1 + 1 + 85 + 0 + 3 + 494 + 2 + 80 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6306731061 + ... + 6306732939.

It is an arithmetic number, because the mean of its divisors is an integer number (73460041200).

Almost surely, 2^{11850349428000} is an apocalyptic number.

11850349428000 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 11850349428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21156491865600).

11850349428000 is an abundant number, since it is smaller than the sum of its proper divisors (30462634303200).

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

11850349428000 is a wasteful number, since it uses less digits than its factorization.

11850349428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 11850349428000 in words is "eleven trillion, eight hundred fifty billion, three hundred forty-nine million, four hundred twenty-eight thousand".