10635805440 has 540 divisors, whose sum is σ = 41277386304. Its totient is φ = 2613731328.

The previous prime is 10635805379. The next prime is 10635805447. The reversal of 10635805440 is 4450853601.

It is a happy number.

10635805440 is a `hidden beast` number, since 1 + 0 + 6 + 35 + 80 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×10635805440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10635805395 and 10635805404.

It is not an unprimeable number, because it can be changed into a prime (10635805447) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17521617 + ... + 17522223.

Almost surely, 2^10635805440 is an apocalyptic number.

10635805440 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 10635805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20638693152).

10635805440 is an abundant number, since it is smaller than the sum of its proper divisors (30641580864).

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

10635805440 is an equidigital number, since it uses as much as digits as its factorization.

10635805440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10635805440 in words is "ten billion, six hundred thirty-five million, eight hundred five thousand, four hundred forty".