11993612594040 has 1728 divisors, whose sum is σ = 52714533231360. Its totient is φ = 2352430080000.

The previous prime is 11993612594021. The next prime is 11993612594063. The reversal of 11993612594040 is 4049521639911.

11993612594040 is a `hidden beast` number, since 1 + 1 + 9 + 9 + 3 + 6 + 1 + 2 + 594 + 0 + 40 = 666.

11993612594040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2712871030 + ... + 2712875450.

It is an arithmetic number, because the mean of its divisors is an integer number (30506095620).

Almost surely, 2^{11993612594040} is an apocalyptic number.

11993612594040 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 11993612594040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26357266615680).

11993612594040 is an abundant number, since it is smaller than the sum of its proper divisors (40720920637320).

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

11993612594040 is a wasteful number, since it uses less digits than its factorization.

11993612594040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4546 (or 4521 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 11993612594040 in words is "eleven trillion, nine hundred ninety-three billion, six hundred twelve million, five hundred ninety-four thousand, forty".