11548648910880 has 1152 divisors, whose sum is σ = 43438010144256. Its totient is φ = 2893418496000.

The previous prime is 11548648910879. The next prime is 11548648910951. The reversal of 11548648910880 is 8801984684511.

11548648910880 is a `hidden beast` number, since 1 + 1 + 5 + 48 + 6 + 489 + 108 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6075037930 + ... + 6075039830.

It is an arithmetic number, because the mean of its divisors is an integer number (37706606028).

Almost surely, 2^{11548648910880} is an apocalyptic number.

11548648910880 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 11548648910880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21719005072128).

11548648910880 is an abundant number, since it is smaller than the sum of its proper divisors (31889361233376).

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

11548648910880 is a wasteful number, since it uses less digits than its factorization.

11548648910880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 63.

The spelling of 11548648910880 in words is "eleven trillion, five hundred forty-eight billion, six hundred forty-eight million, nine hundred ten thousand, eight hundred eighty".