11978032812480 has 1008 divisors, whose sum is σ = 50094177606720. Its totient is φ = 2572850036736.

The previous prime is 11978032812443. The next prime is 11978032812593. The reversal of 11978032812480 is 8421823087911.

11978032812480 is a `hidden beast` number, since 1 + 1 + 9 + 7 + 80 + 3 + 2 + 81 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5412575854 + ... + 5412578066.

Almost surely, 2^{11978032812480} is an apocalyptic number.

11978032812480 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 11978032812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25047088803360).

11978032812480 is an abundant number, since it is smaller than the sum of its proper divisors (38116144794240).

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

11978032812480 is a wasteful number, since it uses less digits than its factorization.

11978032812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 11978032812480 in words is "eleven trillion, nine hundred seventy-eight billion, thirty-two million, eight hundred twelve thousand, four hundred eighty".