10853409840 has 720 divisors, whose sum is σ = 43708059648. Its totient is φ = 2219083776.

The previous prime is 10853409839. The next prime is 10853409863. The reversal of 10853409840 is 4890435801.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10853409792 and 10853409801.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85459857 + ... + 85459983.

Almost surely, 2^10853409840 is an apocalyptic number.

10853409840 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 10853409840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21854029824).

10853409840 is an abundant number, since it is smaller than the sum of its proper divisors (32854649808).

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

10853409840 is a wasteful number, since it uses less digits than its factorization.

10853409840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 10853409840 in words is "ten billion, eight hundred fifty-three million, four hundred nine thousand, eight hundred forty".