10235827200 has 132 divisors (see below), whose sum is σ = 33830195840. Its totient is φ = 2729533440.

The previous prime is 10235827141. The next prime is 10235827213. The reversal of 10235827200 is 272853201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10161 + ... + 143439.

Almost surely, 2^10235827200 is an apocalyptic number.

10235827200 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 10235827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16915097920).

10235827200 is an abundant number, since it is smaller than the sum of its proper divisors (23594368640).

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

10235827200 is a wasteful number, since it uses less digits than its factorization.

10235827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133312 (or 133289 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 10235827200 in words is "ten billion, two hundred thirty-five million, eight hundred twenty-seven thousand, two hundred".