11534855472 has 240 divisors, whose sum is σ = 38217553920. Its totient is φ = 3178137600.

The previous prime is 11534855467. The next prime is 11534855509. The reversal of 11534855472 is 27455843511.

11534855472 is a `hidden beast` number, since 1 + 1 + 53 + 48 + 554 + 7 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13092472 + ... + 13093352.

It is an arithmetic number, because the mean of its divisors is an integer number (159239808).

Almost surely, 2^11534855472 is an apocalyptic number.

11534855472 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 11534855472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19108776960).

11534855472 is an abundant number, since it is smaller than the sum of its proper divisors (26682698448).

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

11534855472 is a wasteful number, since it uses less digits than its factorization.

11534855472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1343 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

It can be divided in two parts, 115348 and 55472, that added together give a triangular number (170820 = T₅₈₄).

The spelling of 11534855472 in words is "eleven billion, five hundred thirty-four million, eight hundred fifty-five thousand, four hundred seventy-two".