10005465600 has 960 divisors, whose sum is σ = 42196049280. Its totient is φ = 2300313600.

The previous prime is 10005465581. The next prime is 10005465619. The reversal of 10005465600 is 656450001.

It is a happy number.

10005465600 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 5 + 4 + 656 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10005465581) and next prime (10005465619).

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76377535 + ... + 76377665.

It is an arithmetic number, because the mean of its divisors is an integer number (43954218).

Almost surely, 2^10005465600 is an apocalyptic number.

10005465600 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 10005465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21098024640).

10005465600 is an abundant number, since it is smaller than the sum of its proper divisors (32190583680).

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

10005465600 is a wasteful number, since it uses less digits than its factorization.

10005465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 10005465600 in words is "ten billion, five million, four hundred sixty-five thousand, six hundred".