10202266543056 has 160 divisors (see below), whose sum is σ = 30803398813440. Its totient is φ = 2849301491712.

The previous prime is 10202266542971. The next prime is 10202266543111. The reversal of 10202266543056 is 65034566220201.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10202266542999 and 10202266543017.

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, 3725476 + ... + 5855228.

It is an arithmetic number, because the mean of its divisors is an integer number (192521242584).

Almost surely, 2^{10202266543056} is an apocalyptic number.

10202266543056 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 10202266543056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15401699406720).

10202266543056 is an abundant number, since it is smaller than the sum of its proper divisors (20601132270384).

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

10202266543056 is a wasteful number, since it uses less digits than its factorization.

10202266543056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130093 (or 2130087 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 10202266543056 in words is "ten trillion, two hundred two billion, two hundred sixty-six million, five hundred forty-three thousand, fifty-six".