10202066656 has 96 divisors (see below), whose sum is σ = 22090682880. Its totient is φ = 4618500096.

The previous prime is 10202066621. The next prime is 10202066659. The reversal of 10202066656 is 65666020201.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202066659) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1505131 + ... + 1511893.

It is an arithmetic number, because the mean of its divisors is an integer number (230111280).

Almost surely, 2^10202066656 is an apocalyptic number.

10202066656 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 10202066656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11045341440).

10202066656 is an abundant number, since it is smaller than the sum of its proper divisors (11888616224).

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

10202066656 is a wasteful number, since it uses less digits than its factorization.

10202066656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6896 (or 6888 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

Adding to 10202066656 its reverse (65666020201), we get a palindrome (75868086857).

The spelling of 10202066656 in words is "ten billion, two hundred two million, sixty-six thousand, six hundred fifty-six".