10325761600 has 168 divisors, whose sum is σ = 31677668928. Its totient is φ = 3218380800.

The previous prime is 10325761561. The next prime is 10325761619. The reversal of 10325761600 is 616752301.

10325761600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81294 + ... + 165106.

Almost surely, 2^10325761600 is an apocalyptic number.

10325761600 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 10325761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15838834464).

10325761600 is an abundant number, since it is smaller than the sum of its proper divisors (21351907328).

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

10325761600 is a wasteful number, since it uses less digits than its factorization.

10325761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83853 (or 83838 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The spelling of 10325761600 in words is "ten billion, three hundred twenty-five million, seven hundred sixty-one thousand, six hundred".