10564190208 has 480 divisors, whose sum is σ = 36992632320. Its totient is φ = 2937323520.

The previous prime is 10564190177. The next prime is 10564190239. The reversal of 10564190208 is 80209146501.

10564190208 is a `hidden beast` number, since 1 + 0 + 5 + 641 + 9 + 0 + 2 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (10564190177) and next prime (10564190239).

It is a super-2 number, since 2×10564190208² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 63258541 + ... + 63258707.

It is an arithmetic number, because the mean of its divisors is an integer number (77067984).

Almost surely, 2^10564190208 is an apocalyptic number.

10564190208 is a gapful number since it is divisible by the number (18) 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 10564190208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18496316160).

10564190208 is an abundant number, since it is smaller than the sum of its proper divisors (26428442112).

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

10564190208 is a wasteful number, since it uses less digits than its factorization.

10564190208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10564190208 in words is "ten billion, five hundred sixty-four million, one hundred ninety thousand, two hundred eight".