10200655200 has 144 divisors (see below), whose sum is σ = 33671344896. Its totient is φ = 2681817600.

The previous prime is 10200655193. The next prime is 10200655211. The reversal of 10200655200 is 255600201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140469 + ... + 200331.

It is an arithmetic number, because the mean of its divisors is an integer number (233828784).

Almost surely, 2^10200655200 is an apocalyptic number.

10200655200 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 10200655200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16835672448).

10200655200 is an abundant number, since it is smaller than the sum of its proper divisors (23470689696).

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

10200655200 is a wasteful number, since it uses less digits than its factorization.

10200655200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59957 (or 59944 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The spelling of 10200655200 in words is "ten billion, two hundred million, six hundred fifty-five thousand, two hundred".