10505456640 has 264 divisors, whose sum is σ = 41602572960. Its totient is φ = 2401173504.

The previous prime is 10505456593. The next prime is 10505456641. The reversal of 10505456640 is 4665450501.

10505456640 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 5 + 4 + 5 + 6 + 640 = 666.

It is a super-2 number, since 2×10505456640² (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 = 10505456595 and 10505456604.

It is not an unprimeable number, because it can be changed into a prime (10505456641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 306276 + ... + 338844.

Almost surely, 2^10505456640 is an apocalyptic number.

10505456640 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 10505456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20801286480).

10505456640 is an abundant number, since it is smaller than the sum of its proper divisors (31097116320).

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

10505456640 is a wasteful number, since it uses less digits than its factorization.

10505456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32607 (or 32586 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 10505456640 in words is "ten billion, five hundred five million, four hundred fifty-six thousand, six hundred forty".