11375787108384 has 576 divisors, whose sum is σ = 36427188575232. Its totient is φ = 3349875916800.

The previous prime is 11375787108379. The next prime is 11375787108409. The reversal of 11375787108384 is 48380178757311.

11375787108384 is a `hidden beast` number, since 1 + 1 + 3 + 75 + 7 + 87 + 108 + 384 = 666.

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, 1892491939 + ... + 1892497949.

It is an arithmetic number, because the mean of its divisors is an integer number (63241646832).

Almost surely, 2^{11375787108384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11375787108384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18213594287616).

11375787108384 is an abundant number, since it is smaller than the sum of its proper divisors (25051401466848).

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

11375787108384 is a wasteful number, since it uses less digits than its factorization.

11375787108384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6449 (or 6438 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 11375787108384 in words is "eleven trillion, three hundred seventy-five billion, seven hundred eighty-seven million, one hundred eight thousand, three hundred eighty-four".