11575678594140 has 192 divisors, whose sum is σ = 37231506385920. Its totient is φ = 2983528339200.

The previous prime is 11575678594133. The next prime is 11575678594189. The reversal of 11575678594140 is 4149587657511.

11575678594140 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 567 + 8 + 59 + 4 + 14 + 0 = 666.

11575678594140 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 63 ways as a sum of consecutive naturals, for example, 1098559 + ... + 4935401.

It is an arithmetic number, because the mean of its divisors is an integer number (193914095760).

Almost surely, 2^{11575678594140} is an apocalyptic number.

11575678594140 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 11575678594140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18615753192960).

11575678594140 is an abundant number, since it is smaller than the sum of its proper divisors (25655827791780).

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

11575678594140 is a wasteful number, since it uses less digits than its factorization.

11575678594140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3837049 (or 3837041 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 63.

The spelling of 11575678594140 in words is "eleven trillion, five hundred seventy-five billion, six hundred seventy-eight million, five hundred ninety-four thousand, one hundred forty".