10332306540 has 192 divisors, whose sum is σ = 33163240320. Its totient is φ = 2702688768.

The previous prime is 10332306503. The next prime is 10332306547. The reversal of 10332306540 is 4560323301.

It is a happy number.

10332306540 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 2 + 3 + 0 + 654 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10332306547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2315992 + ... + 2320448.

It is an arithmetic number, because the mean of its divisors is an integer number (172725210).

Almost surely, 2^10332306540 is an apocalyptic number.

10332306540 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 10332306540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16581620160).

10332306540 is an abundant number, since it is smaller than the sum of its proper divisors (22830933780).

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

10332306540 is an equidigital number, since it uses as much as digits as its factorization.

10332306540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4540 (or 4520 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 10332306540 its reverse (4560323301), we get a palindrome (14892629841).

The spelling of 10332306540 in words is "ten billion, three hundred thirty-two million, three hundred six thousand, five hundred forty".