11938607280 has 160 divisors (see below), whose sum is σ = 41167365120. Its totient is φ = 3180107520.

The previous prime is 11938607243. The next prime is 11938607281. The reversal of 11938607280 is 8270683911.

11938607280 is a `hidden beast` number, since 1 + 1 + 9 + 38 + 607 + 2 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11938607281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2379975 + ... + 2384985.

It is an arithmetic number, because the mean of its divisors is an integer number (257296032).

Almost surely, 2^11938607280 is an apocalyptic number.

11938607280 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 11938607280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20583682560).

11938607280 is an abundant number, since it is smaller than the sum of its proper divisors (29228757840).

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

11938607280 is a wasteful number, since it uses less digits than its factorization.

11938607280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6136 (or 6124 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11938607280 in words is "eleven billion, nine hundred thirty-eight million, six hundred seven thousand, two hundred eighty".