11901048240 has 320 divisors, whose sum is σ = 41307356160. Its totient is φ = 2820280320.

The previous prime is 11901048193. The next prime is 11901048253. The reversal of 11901048240 is 4284010911.

11901048240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11901048198 and 11901048207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5557570 + ... + 5559710.

It is an arithmetic number, because the mean of its divisors is an integer number (129085488).

Almost surely, 2^11901048240 is an apocalyptic number.

11901048240 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 11901048240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20653678080).

11901048240 is an abundant number, since it is smaller than the sum of its proper divisors (29406307920).

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

11901048240 is a wasteful number, since it uses less digits than its factorization.

11901048240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 11901048240 in words is "eleven billion, nine hundred one million, forty-eight thousand, two hundred forty".