11278060448256 has 1320 divisors, whose sum is σ = 41152968657504. Its totient is φ = 3072891064320.

The previous prime is 11278060448243. The next prime is 11278060448293. The reversal of 11278060448256 is 65284406087211.

11278060448256 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 8 + 0 + 604 + 4 + 8 + 25 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 34072690011 + ... + 34072690341.

Almost surely, 2^{11278060448256} is an apocalyptic number.

11278060448256 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 11278060448256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20576484328752).

11278060448256 is an abundant number, since it is smaller than the sum of its proper divisors (29874908209248).

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

11278060448256 is an frugal number, since it uses more digits than its factorization.

11278060448256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 11278060448256 in words is "eleven trillion, two hundred seventy-eight billion, sixty million, four hundred forty-eight thousand, two hundred fifty-six".