16225273890 has 128 divisors (see below), whose sum is σ = 49533419520. Its totient is φ = 3702262464.

The previous prime is 16225273873. The next prime is 16225273907. The reversal of 16225273890 is 9837252261.

16225273890 is a `hidden beast` number, since 1 + 6 + 2 + 2 + 527 + 38 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (16225273873) and next prime (16225273907).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 1140159 + ... + 1154301.

It is an arithmetic number, because the mean of its divisors is an integer number (386979840).

Almost surely, 2^16225273890 is an apocalyptic number.

16225273890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16225273890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766709760).

16225273890 is an abundant number, since it is smaller than the sum of its proper divisors (33308145630).

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

16225273890 is a wasteful number, since it uses less digits than its factorization.

16225273890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14773 (or 14767 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 16225273890 in words is "sixteen billion, two hundred twenty-five million, two hundred seventy-three thousand, eight hundred ninety".