10838862720 has 960 divisors, whose sum is σ = 47865731760. Its totient is φ = 2322432000.

The previous prime is 10838862719. The next prime is 10838862733. The reversal of 10838862720 is 2726883801.

10838862720 is a `hidden beast` number, since 10 + 8 + 3 + 8 + 8 + 627 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 43182595 + ... + 43182845.

Almost surely, 2^10838862720 is an apocalyptic number.

10838862720 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 10838862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23932865880).

10838862720 is an abundant number, since it is smaller than the sum of its proper divisors (37026869040).

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

10838862720 is a wasteful number, since it uses less digits than its factorization.

10838862720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 10838862720 in words is "ten billion, eight hundred thirty-eight million, eight hundred sixty-two thousand, seven hundred twenty".