11787637891140 has 72 divisors (see below), whose sum is σ = 35760838958208. Its totient is φ = 3142930190400.

The previous prime is 11787637891123. The next prime is 11787637891147. The reversal of 11787637891140 is 4119873678711.

11787637891140 is a `hidden beast` number, since 1 + 1 + 78 + 76 + 378 + 91 + 1 + 40 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11787637891147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3291682 + ... + 5866041.

It is an arithmetic number, because the mean of its divisors is an integer number (496678318864).

Almost surely, 2^{11787637891140} is an apocalyptic number.

11787637891140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11787637891140 is an abundant number, since it is smaller than the sum of its proper divisors (23973201067068).

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

11787637891140 is a wasteful number, since it uses less digits than its factorization.

11787637891140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9164889 (or 9164884 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 63.

The spelling of 11787637891140 in words is "eleven trillion, seven hundred eighty-seven billion, six hundred thirty-seven million, eight hundred ninety-one thousand, one hundred forty".