10208229984 has 96 divisors (see below), whose sum is σ = 30069053280. Its totient is φ = 3369024000.

The previous prime is 10208229937. The next prime is 10208230003. The reversal of 10208229984 is 48992280201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28774 + ... + 145754.

It is an arithmetic number, because the mean of its divisors is an integer number (313219305).

Almost surely, 2^10208229984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10208229984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15034526640).

10208229984 is an abundant number, since it is smaller than the sum of its proper divisors (19860823296).

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

10208229984 is a wasteful number, since it uses less digits than its factorization.

10208229984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117101 (or 117087 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 10208229984 in words is "ten billion, two hundred eight million, two hundred twenty-nine thousand, nine hundred eighty-four".