10006235222256 has 400 divisors, whose sum is σ = 36513632852928. Its totient is φ = 2574639820800.

The previous prime is 10006235222239. The next prime is 10006235222279. The reversal of 10006235222256 is 65222253260001.

10006235222256 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 62 + 3 + 522 + 22 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10006235222256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3800686 + ... + 5870066.

Almost surely, 2^{10006235222256} is an apocalyptic number.

10006235222256 is a gapful number since it is divisible by the number (16) 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 10006235222256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18256816426464).

10006235222256 is an abundant number, since it is smaller than the sum of its proper divisors (26507397630672).

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

10006235222256 is a wasteful number, since it uses less digits than its factorization.

10006235222256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069462 (or 2069447 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 10006235222256 its reverse (65222253260001), we get a palindrome (75228488482257).

The spelling of 10006235222256 in words is "ten trillion, six billion, two hundred thirty-five million, two hundred twenty-two thousand, two hundred fifty-six".