11278724544 has 336 divisors, whose sum is σ = 36061009920. Its totient is φ = 3356559360.

The previous prime is 11278724531. The next prime is 11278724549. The reversal of 11278724544 is 44542787211.

11278724544 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 87 + 24 + 544 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11278724544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11278724549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11909479 + ... + 11910425.

Almost surely, 2^11278724544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11278724544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18030504960).

11278724544 is an abundant number, since it is smaller than the sum of its proper divisors (24782285376).

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

11278724544 is a wasteful number, since it uses less digits than its factorization.

11278724544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1035 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The spelling of 11278724544 in words is "eleven billion, two hundred seventy-eight million, seven hundred twenty-four thousand, five hundred forty-four".