11848131809280 has 832 divisors, whose sum is σ = 45439306456320. Its totient is φ = 2911475073024.

The previous prime is 11848131809257. The next prime is 11848131809351. The reversal of 11848131809280 is 8290813184811.

11848131809280 is a `hidden beast` number, since 1 + 1 + 8 + 48 + 1 + 318 + 0 + 9 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

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 63 ways as a sum of consecutive naturals, for example, 5944871964 + ... + 5944873956.

Almost surely, 2^{11848131809280} is an apocalyptic number.

11848131809280 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 11848131809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22719653228160).

11848131809280 is an abundant number, since it is smaller than the sum of its proper divisors (33591174647040).

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

11848131809280 is a wasteful number, since it uses less digits than its factorization.

11848131809280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 54.

The spelling of 11848131809280 in words is "eleven trillion, eight hundred forty-eight billion, one hundred thirty-one million, eight hundred nine thousand, two hundred eighty".