10238853600 has 432 divisors, whose sum is σ = 38672524800. Its totient is φ = 2640729600.

The previous prime is 10238853587. The next prime is 10238853607. The reversal of 10238853600 is 635883201.

10238853600 is a `hidden beast` number, since 10 + 2 + 38 + 8 + 5 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10238853607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6025551 + ... + 6027249.

Almost surely, 2^10238853600 is an apocalyptic number.

10238853600 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 10238853600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19336262400).

10238853600 is an abundant number, since it is smaller than the sum of its proper divisors (28433671200).

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

10238853600 is a wasteful number, since it uses less digits than its factorization.

10238853600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10238853600 in words is "ten billion, two hundred thirty-eight million, eight hundred fifty-three thousand, six hundred".