13838335560 has 192 divisors, whose sum is σ = 52242727680. Its totient is φ = 3111160320.

The previous prime is 13838335501. The next prime is 13838335571. The reversal of 13838335560 is 6553383831.

13838335560 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 83 + 3 + 5 + 560 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 108709 + ... + 198731.

It is an arithmetic number, because the mean of its divisors is an integer number (272097540).

Almost surely, 2^13838335560 is an apocalyptic number.

13838335560 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 13838335560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26121363840).

13838335560 is an abundant number, since it is smaller than the sum of its proper divisors (38404392120).

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

13838335560 is a wasteful number, since it uses less digits than its factorization.

13838335560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90108 (or 90101 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 13838335560 in words is "thirteen billion, eight hundred thirty-eight million, three hundred thirty-five thousand, five hundred sixty".