10645324312320 has 216 divisors, whose sum is σ = 37052269109856. Its totient is φ = 2821754118144.

The previous prime is 10645324312319. The next prime is 10645324312321. The reversal of 10645324312320 is 2321342354601.

10645324312320 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 5 + 324 + 3 + 1 + 2 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (10645324312319) and next prime (10645324312321).

It is a super-2 number, since 2×10645324312320² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10645324312321) 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, 842847 + ... + 4690526.

It is an arithmetic number, because the mean of its divisors is an integer number (171538282916).

Almost surely, 2^{10645324312320} is an apocalyptic number.

10645324312320 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 10645324312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18526134554928).

10645324312320 is an abundant number, since it is smaller than the sum of its proper divisors (26406944797536).

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

10645324312320 is a wasteful number, since it uses less digits than its factorization.

10645324312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5533567 (or 5533550 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 10645324312320 its reverse (2321342354601), we get a palindrome (12966666666921).

The spelling of 10645324312320 in words is "ten trillion, six hundred forty-five billion, three hundred twenty-four million, three hundred twelve thousand, three hundred twenty".