11384971680 has 192 divisors, whose sum is σ = 37230617088. Its totient is φ = 2922332160.

The previous prime is 11384971679. The next prime is 11384971709. The reversal of 11384971680 is 8617948311.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1372024 + ... + 1380296.

It is an arithmetic number, because the mean of its divisors is an integer number (193909464).

Almost surely, 2^11384971680 is an apocalyptic number.

11384971680 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 11384971680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18615308544).

11384971680 is an abundant number, since it is smaller than the sum of its proper divisors (25845645408).

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

11384971680 is a wasteful number, since it uses less digits than its factorization.

11384971680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8399 (or 8391 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 11384971680 in words is "eleven billion, three hundred eighty-four million, nine hundred seventy-one thousand, six hundred eighty".