10645839360 has 240 divisors, whose sum is σ = 39706771104. Its totient is φ = 2620440576.

The previous prime is 10645839353. The next prime is 10645839367. The reversal of 10645839360 is 6393854601.

10645839360 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 583 + 9 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (10645839353) and next prime (10645839367).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10645839360² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10645839367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281749 + ... + 317291.

Almost surely, 2^10645839360 is an apocalyptic number.

10645839360 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 10645839360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19853385552).

10645839360 is an abundant number, since it is smaller than the sum of its proper divisors (29060931744).

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

10645839360 is a wasteful number, since it uses less digits than its factorization.

10645839360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35585 (or 35566 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 10645839360 in words is "ten billion, six hundred forty-five million, eight hundred thirty-nine thousand, three hundred sixty".