10505853540 has 288 divisors, whose sum is σ = 41287384320. Its totient is φ = 2099893248.

The previous prime is 10505853517. The next prime is 10505853563. The reversal of 10505853540 is 4535850501.

It is a happy number.

10505853540 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 585 + 35 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (10505853517) and next prime (10505853563).

It is a super-2 number, since 2×10505853540² (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 = 10505853495 and 10505853504.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 294342 + ... + 328098.

Almost surely, 2^10505853540 is an apocalyptic number.

10505853540 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 10505853540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20643692160).

10505853540 is an abundant number, since it is smaller than the sum of its proper divisors (30781530780).

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

10505853540 is a wasteful number, since it uses less digits than its factorization.

10505853540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33811 (or 33806 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 10505853540 in words is "ten billion, five hundred five million, eight hundred fifty-three thousand, five hundred forty".