11587377340800 has 144 divisors (see below), whose sum is σ = 41346417895380. Its totient is φ = 3089967283200.

The previous prime is 11587377340793. The next prime is 11587377340811. The reversal of 11587377340800 is 804377378511.

11587377340800 is a `hidden beast` number, since 1 + 158 + 7 + 3 + 77 + 340 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×11587377340800³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 201140946 + ... + 201198545.

Almost surely, 2^{11587377340800} is an apocalyptic number.

11587377340800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11587377340800 is an abundant number, since it is smaller than the sum of its proper divisors (29759040554580).

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

11587377340800 is a wasteful number, since it uses less digits than its factorization.

11587377340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402339521 (or 402339501 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 11587377340800 in words is "eleven trillion, five hundred eighty-seven billion, three hundred seventy-seven million, three hundred forty thousand, eight hundred".