10206425121360 has 320 divisors, whose sum is σ = 35350404929280. Its totient is φ = 2418720030720.

The previous prime is 10206425121323. The next prime is 10206425121367. The reversal of 10206425121360 is 6312152460201.

It is a super-2 number, since 2×10206425121360² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10206425121367) 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, 31234020 + ... + 31559100.

It is an arithmetic number, because the mean of its divisors is an integer number (110470015404).

Almost surely, 2^{10206425121360} is an apocalyptic number.

10206425121360 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 10206425121360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17675202464640).

10206425121360 is an abundant number, since it is smaller than the sum of its proper divisors (25143979807920).

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

10206425121360 is a wasteful number, since it uses less digits than its factorization.

10206425121360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325486 (or 325480 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 10206425121360 its reverse (6312152460201), we get a palindrome (16518577581561).

The spelling of 10206425121360 in words is "ten trillion, two hundred six billion, four hundred twenty-five million, one hundred twenty-one thousand, three hundred sixty".