10500005656 has 64 divisors (see below), whose sum is σ = 22823424000. Its totient is φ = 4435516800.

The previous prime is 10500005639. The next prime is 10500005671. The reversal of 10500005656 is 65650000501.

It is a super-2 number, since 2×10500005656² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3179206 + ... + 3182506.

It is an arithmetic number, because the mean of its divisors is an integer number (356616000).

Almost surely, 2^10500005656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10500005656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11411712000).

10500005656 is an abundant number, since it is smaller than the sum of its proper divisors (12323418344).

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

10500005656 is a wasteful number, since it uses less digits than its factorization.

10500005656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4112 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The spelling of 10500005656 in words is "ten billion, five hundred million, five thousand, six hundred fifty-six".