10035226326720 has 672 divisors, whose sum is σ = 38142418406400. Its totient is φ = 2227761070080.

The previous prime is 10035226326581. The next prime is 10035226326899. The reversal of 10035226326720 is 2762362253001.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 289607956 + ... + 289642604.

It is an arithmetic number, because the mean of its divisors is an integer number (56759551200).

Almost surely, 2^{10035226326720} is an apocalyptic number.

10035226326720 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 10035226326720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19071209203200).

10035226326720 is an abundant number, since it is smaller than the sum of its proper divisors (28107192079680).

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

10035226326720 is a wasteful number, since it uses less digits than its factorization.

10035226326720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34861 (or 34844 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

Adding to 10035226326720 its reverse (2762362253001), we get a palindrome (12797588579721).

The spelling of 10035226326720 in words is "ten trillion, thirty-five billion, two hundred twenty-six million, three hundred twenty-six thousand, seven hundred twenty".