11648974026960 has 280 divisors, whose sum is σ = 41551583799264. Its totient is φ = 3034150721280.

The previous prime is 11648974026959. The next prime is 11648974026973. The reversal of 11648974026960 is 6962047984611.

11648974026960 is a `hidden beast` number, since 1 + 1 + 6 + 489 + 7 + 40 + 26 + 96 + 0 = 666.

11648974026960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 185175 + ... + 4830345.

Almost surely, 2^{11648974026960} is an apocalyptic number.

11648974026960 is a gapful number since it is divisible by the number (10) 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 11648974026960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20775791899632).

11648974026960 is an abundant number, since it is smaller than the sum of its proper divisors (29902609772304).

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

11648974026960 is an equidigital number, since it uses as much as digits as its factorization.

11648974026960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4645245 (or 4645224 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 11648974026960 in words is "eleven trillion, six hundred forty-eight billion, nine hundred seventy-four million, twenty-six thousand, nine hundred sixty".