11848217760 has 384 divisors, whose sum is σ = 42456960000. Its totient is φ = 3085295616.

The previous prime is 11848217753. The next prime is 11848217789. The reversal of 11848217760 is 6771284811.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 50850604 + ... + 50850836.

It is an arithmetic number, because the mean of its divisors is an integer number (110565000).

Almost surely, 2^11848217760 is an apocalyptic number.

11848217760 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 11848217760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228480000).

11848217760 is an abundant number, since it is smaller than the sum of its proper divisors (30608742240).

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

11848217760 is a wasteful number, since it uses less digits than its factorization.

11848217760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 11848217760 in words is "eleven billion, eight hundred forty-eight million, two hundred seventeen thousand, seven hundred sixty".