10838681280 has 1120 divisors, whose sum is σ = 47585083392. Its totient is φ = 2289254400.

The previous prime is 10838681267. The next prime is 10838681291. The reversal of 10838681280 is 8218683801.

It is a tau number, because it is divible by the number of its divisors (1120).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 230610217 + ... + 230610263.

Almost surely, 2^10838681280 is an apocalyptic number.

10838681280 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 10838681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23792541696).

10838681280 is an abundant number, since it is smaller than the sum of its proper divisors (36746402112).

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

10838681280 is a wasteful number, since it uses less digits than its factorization.

10838681280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 10838681280 in words is "ten billion, eight hundred thirty-eight million, six hundred eighty-one thousand, two hundred eighty".