10656213263300 has 144 divisors (see below), whose sum is σ = 25908807355200. Its totient is φ = 3770796019200.

The previous prime is 10656213263231. The next prime is 10656213263303. The reversal of 10656213263300 is 336231265601.

10656213263300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10656213263300² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10656213263303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12304946 + ... + 13142454.

It is an arithmetic number, because the mean of its divisors is an integer number (179922273300).

Almost surely, 2^{10656213263300} is an apocalyptic number.

10656213263300 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 10656213263300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12954403677600).

10656213263300 is an abundant number, since it is smaller than the sum of its proper divisors (15252594091900).

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

10656213263300 is a wasteful number, since it uses less digits than its factorization.

10656213263300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837846 (or 837839 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 38.

The spelling of 10656213263300 in words is "ten trillion, six hundred fifty-six billion, two hundred thirteen million, two hundred sixty-three thousand, three hundred".