11549240672256 has 1440 divisors, whose sum is σ = 44105787048960. Its totient is φ = 2939928182784.

The previous prime is 11549240672209. The next prime is 11549240672261. The reversal of 11549240672256 is 65227604294511.

11549240672256 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 9 + 2 + 406 + 7 + 225 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9001745791 + ... + 9001747073.

It is an arithmetic number, because the mean of its divisors is an integer number (30629018784).

Almost surely, 2^{11549240672256} is an apocalyptic number.

11549240672256 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 11549240672256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22052893524480).

11549240672256 is an abundant number, since it is smaller than the sum of its proper divisors (32556546376704).

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

11549240672256 is an equidigital number, since it uses as much as digits as its factorization.

11549240672256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 11549240672256 in words is "eleven trillion, five hundred forty-nine billion, two hundred forty million, six hundred seventy-two thousand, two hundred fifty-six".