10006545600 has 588 divisors, whose sum is σ = 38624993616. Its totient is φ = 2545551360.

The previous prime is 10006545599. The next prime is 10006545607. The reversal of 10006545600 is 654560001.

It is a happy number.

10006545600 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 6 + 54 + 5 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10006545607) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 26827014 + ... + 26827386.

Almost surely, 2^10006545600 is an apocalyptic number.

10006545600 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 10006545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19312496808).

10006545600 is an abundant number, since it is smaller than the sum of its proper divisors (28618448016).

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

10006545600 is an equidigital number, since it uses as much as digits as its factorization.

10006545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 406 counting only the distinct ones).

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

The spelling of 10006545600 in words is "ten billion, six million, five hundred forty-five thousand, six hundred".