10321265400160 has 192 divisors, whose sum is σ = 28650440508480. Its totient is φ = 3464055521280.

The previous prime is 10321265400139. The next prime is 10321265400289. The reversal of 10321265400160 is 6100456212301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227152804 + ... + 227198236.

It is an arithmetic number, because the mean of its divisors is an integer number (149221044315).

Almost surely, 2^{10321265400160} is an apocalyptic number.

10321265400160 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 10321265400160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14325220254240).

10321265400160 is an abundant number, since it is smaller than the sum of its proper divisors (18329175108320).

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

10321265400160 is a wasteful number, since it uses less digits than its factorization.

10321265400160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55401 (or 55393 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 10321265400160 in words is "ten trillion, three hundred twenty-one billion, two hundred sixty-five million, four hundred thousand, one hundred sixty".