11752169472 has 280 divisors, whose sum is σ = 35682174000. Its totient is φ = 3853910016.

The previous prime is 11752169461. The next prime is 11752169501. The reversal of 11752169472 is 27496125711.

11752169472 is a `hidden beast` number, since 1 + 17 + 5 + 2 + 169 + 472 = 666.

It is a super-2 number, since 2×11752169472² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59056029 + ... + 59056227.

Almost surely, 2^11752169472 is an apocalyptic number.

11752169472 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 11752169472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17841087000).

11752169472 is an abundant number, since it is smaller than the sum of its proper divisors (23930004528).

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

11752169472 is an frugal number, since it uses more digits than its factorization.

11752169472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 293 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The spelling of 11752169472 in words is "eleven billion, seven hundred fifty-two million, one hundred sixty-nine thousand, four hundred seventy-two".