10200355984 has 120 divisors (see below), whose sum is σ = 24639881280. Its totient is φ = 4005241344.

The previous prime is 10200355933. The next prime is 10200355987. The reversal of 10200355984 is 48955300201.

It is not an unprimeable number, because it can be changed into a prime (10200355987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2629054 + ... + 2632930.

It is an arithmetic number, because the mean of its divisors is an integer number (205332344).

Almost surely, 2^10200355984 is an apocalyptic number.

10200355984 is a gapful number since it is divisible by the number (14) 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 10200355984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12319940640).

10200355984 is an abundant number, since it is smaller than the sum of its proper divisors (14439525296).

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

10200355984 is a wasteful number, since it uses less digits than its factorization.

10200355984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 10200355984 in words is "ten billion, two hundred million, three hundred fifty-five thousand, nine hundred eighty-four".