11872657536 has 128 divisors (see below), whose sum is σ = 32732942400. Its totient is φ = 3808358400.

The previous prime is 11872657529. The next prime is 11872657541. The reversal of 11872657536 is 63575627811.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3684406 + ... + 3687626.

Almost surely, 2^11872657536 is an apocalyptic number.

11872657536 is a gapful number since it is divisible by the number (16) 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 11872657536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16366471200).

11872657536 is an abundant number, since it is smaller than the sum of its proper divisors (20860284864).

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

11872657536 is a wasteful number, since it uses less digits than its factorization.

11872657536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3598 (or 3586 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 51.

The spelling of 11872657536 in words is "eleven billion, eight hundred seventy-two million, six hundred fifty-seven thousand, five hundred thirty-six".