10245009600 has 840 divisors, whose sum is σ = 45000476928. Its totient is φ = 2235340800.

The previous prime is 10245009559. The next prime is 10245009647. The reversal of 10245009600 is 690054201.

10245009600 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 50 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 119 ways as a sum of consecutive naturals, for example, 20865355 + ... + 20865845.

Almost surely, 2^10245009600 is an apocalyptic number.

10245009600 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 10245009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22500238464).

10245009600 is an abundant number, since it is smaller than the sum of its proper divisors (34755467328).

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

10245009600 is a wasteful number, since it uses less digits than its factorization.

10245009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 531 counting only the distinct ones).

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

The spelling of 10245009600 in words is "ten billion, two hundred forty-five million, nine thousand, six hundred".