11848320000 has 990 divisors, whose sum is σ = 49754959254. Its totient is φ = 2703360000.

The previous prime is 11848319993. The next prime is 11848320023. The reversal of 11848320000 is 2384811.

It can be written as a sum of positive squares in 5 ways, for example, as 3015327744 + 8832992256 = 54912^2 + 93984^2 .

It is a tau number, because it is divible by the number of its divisors (990).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 696959992 + ... + 696960008.

Almost surely, 2^11848320000 is an apocalyptic number.

11848320000 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 11848320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24877479627).

11848320000 is an abundant number, since it is smaller than the sum of its proper divisors (37906639254).

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

11848320000 is a wasteful number, since it uses less digits than its factorization.

11848320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 11848320000 in words is "eleven billion, eight hundred forty-eight million, three hundred twenty thousand".