10656021600 has 432 divisors, whose sum is σ = 45473527008. Its totient is φ = 2292203520.

The previous prime is 10656021577. The next prime is 10656021611. The reversal of 10656021600 is 612065601.

It is a happy number.

10656021600 is a `hidden beast` number, since 1 + 0 + 6 + 56 + 0 + 2 + 1 + 600 = 666.

It is a super-2 number, since 2×10656021600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 850582 + ... + 863018.

It is an arithmetic number, because the mean of its divisors is an integer number (105262794).

Almost surely, 2^10656021600 is an apocalyptic number.

10656021600 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 10656021600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22736763504).

10656021600 is an abundant number, since it is smaller than the sum of its proper divisors (34817505408).

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

10656021600 is a wasteful number, since it uses less digits than its factorization.

10656021600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12487 (or 12471 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10656021600 in words is "ten billion, six hundred fifty-six million, twenty-one thousand, six hundred".