10332010320000 has 640 divisors, whose sum is σ = 35918333953920. Its totient is φ = 2625638400000.

The previous prime is 10332010319971. The next prime is 10332010320001. The reversal of 10332010320000 is 2301023301.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10332010320001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1551116670 + ... + 1551123330.

It is an arithmetic number, because the mean of its divisors is an integer number (56122396803).

Almost surely, 2^{10332010320000} is an apocalyptic number.

10332010320000 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 10332010320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17959166976960).

10332010320000 is an abundant number, since it is smaller than the sum of its proper divisors (25586323633920).

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

10332010320000 is an equidigital number, since it uses as much as digits as its factorization.

10332010320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7002 (or 6975 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10332010320000 its reverse (2301023301), we get a palindrome (10334311343301).

The spelling of 10332010320000 in words is "ten trillion, three hundred thirty-two billion, ten million, three hundred twenty thousand".