16225765920000 has 4050 divisors, whose sum is σ = 77514224509722. Its totient is φ = 3243276288000.

The previous prime is 16225765919999. The next prime is 16225765920011. The reversal of 16225765920000 is 2956752261.

16225765920000 is a `hidden beast` number, since 1 + 6 + 2 + 2 + 57 + 6 + 592 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 9507799574784 + 6717966345216 = 3083472^2 + 2591904^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 449 ways as a sum of consecutive naturals, for example, 853987679991 + ... + 853987680009.

Almost surely, 2^{16225765920000} is an apocalyptic number.

16225765920000 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 16225765920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38757112254861).

16225765920000 is an abundant number, since it is smaller than the sum of its proper divisors (61288458589722).

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

16225765920000 is an frugal number, since it uses more digits than its factorization.

16225765920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 16225765920000 in words is "sixteen trillion, two hundred twenty-five billion, seven hundred sixty-five million, nine hundred twenty thousand".