11500685551872 has 1728 divisors, whose sum is σ = 41432854579200. Its totient is φ = 3129842073600.

The previous prime is 11500685551871. The next prime is 11500685551879. The reversal of 11500685551872 is 27815558600511.

It is a happy number.

11500685551872 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 0 + 6 + 8 + 5 + 551 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11500685551871) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42753477754 + ... + 42753478022.

It is an arithmetic number, because the mean of its divisors is an integer number (23977346400).

Almost surely, 2^{11500685551872} is an apocalyptic number.

11500685551872 is a gapful number since it is divisible by the number (12) 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 11500685551872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20716427289600).

11500685551872 is an abundant number, since it is smaller than the sum of its proper divisors (29932169027328).

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

11500685551872 is a wasteful number, since it uses less digits than its factorization.

11500685551872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 3360000, while the sum is 54.

The spelling of 11500685551872 in words is "eleven trillion, five hundred billion, six hundred eighty-five million, five hundred fifty-one thousand, eight hundred seventy-two".