10857838200 has 288 divisors, whose sum is σ = 37190119680. Its totient is φ = 2618528000.

The previous prime is 10857838181. The next prime is 10857838207. The reversal of 10857838200 is 283875801.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10857838207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25191985 + ... + 25192415.

It is an arithmetic number, because the mean of its divisors is an integer number (129132360).

Almost surely, 2^10857838200 is an apocalyptic number.

10857838200 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 10857838200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18595059840).

10857838200 is an abundant number, since it is smaller than the sum of its proper divisors (26332281480).

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

10857838200 is a wasteful number, since it uses less digits than its factorization.

10857838200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 10857838200 in words is "ten billion, eight hundred fifty-seven million, eight hundred thirty-eight thousand, two hundred".