10938382560 has 336 divisors, whose sum is σ = 44283498336. Its totient is φ = 2500015104.

The previous prime is 10938382531. The next prime is 10938382577. The reversal of 10938382560 is 6528383901.

It is a happy number.

10938382560 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 8 + 3 + 82 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 809782 + ... + 823178.

It is an arithmetic number, because the mean of its divisors is an integer number (131796126).

Almost surely, 2^10938382560 is an apocalyptic number.

10938382560 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 10938382560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22141749168).

10938382560 is an abundant number, since it is smaller than the sum of its proper divisors (33345115776).

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

10938382560 is an equidigital number, since it uses as much as digits as its factorization.

10938382560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13437 (or 13414 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10938382560 in words is "ten billion, nine hundred thirty-eight million, three hundred eighty-two thousand, five hundred sixty".