11874468767040 has 1120 divisors, whose sum is σ = 47911115564928. Its totient is φ = 2766348288000.

The previous prime is 11874468767003. The next prime is 11874468767041. The reversal of 11874468767040 is 4076786447811.

It is a happy number.

11874468767040 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 446 + 87 + 6 + 70 + 40 = 666.

11874468767040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11874468767041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 783217060 + ... + 783232220.

Almost surely, 2^{11874468767040} is an apocalyptic number.

11874468767040 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 11874468767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23955557782464).

11874468767040 is an abundant number, since it is smaller than the sum of its proper divisors (36036646797888).

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

11874468767040 is a wasteful number, since it uses less digits than its factorization.

11874468767040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15309 (or 15290 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 11874468767040 in words is "eleven trillion, eight hundred seventy-four billion, four hundred sixty-eight million, seven hundred sixty-seven thousand, forty".