10228161600 has 672 divisors, whose sum is σ = 39256614400. Its totient is φ = 2620200960.

The previous prime is 10228161599. The next prime is 10228161611. The reversal of 10228161600 is 616182201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129470361 + ... + 129470439.

Almost surely, 2^10228161600 is an apocalyptic number.

10228161600 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 10228161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19628307200).

10228161600 is an abundant number, since it is smaller than the sum of its proper divisors (29028452800).

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

10228161600 is an frugal number, since it uses more digits than its factorization.

10228161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 10228161600 in words is "ten billion, two hundred twenty-eight million, one hundred sixty-one thousand, six hundred".