16225488000 has 768 divisors, whose sum is σ = 63355219200. Its totient is φ = 4080384000.

The previous prime is 16225487983. The next prime is 16225488001. The reversal of 16225488000 is 88452261.

16225488000 is a `hidden beast` number, since 16 + 22 + 548 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16225488001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 228527965 + ... + 228528035.

It is an arithmetic number, because the mean of its divisors is an integer number (82493775).

Almost surely, 2^16225488000 is an apocalyptic number.

16225488000 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 16225488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31677609600).

16225488000 is an abundant number, since it is smaller than the sum of its proper divisors (47129731200).

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

16225488000 is an equidigital number, since it uses as much as digits as its factorization.

16225488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 16225488000 in words is "sixteen billion, two hundred twenty-five million, four hundred eighty-eight thousand".