10245601646320 has 80 divisors (see below), whose sum is σ = 24167152667520. Its totient is φ = 4038883430400.

The previous prime is 10245601646173. The next prime is 10245601646341. The reversal of 10245601646320 is 2364610654201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1920840 + ... + 4917400.

It is an arithmetic number, because the mean of its divisors is an integer number (302089408344).

Almost surely, 2^{10245601646320} is an apocalyptic number.

10245601646320 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 10245601646320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12083576333760).

10245601646320 is an abundant number, since it is smaller than the sum of its proper divisors (13921551021200).

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

10245601646320 is a wasteful number, since it uses less digits than its factorization.

10245601646320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997194 (or 2997188 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 10245601646320 in words is "ten trillion, two hundred forty-five billion, six hundred one million, six hundred forty-six thousand, three hundred twenty".