20145186000 has 560 divisors, whose sum is σ = 75036478608. Its totient is φ = 5225472000.

The previous prime is 20145185947. The next prime is 20145186001. The reversal of 20145186000 is 68154102.

20145186000 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 51 + 8 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14397120144 + 5748065856 = 119988^2 + 75816^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20145186001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 59777832 + ... + 59778168.

Almost surely, 2^20145186000 is an apocalyptic number.

20145186000 is a gapful number since it is divisible by the number (20) 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 20145186000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37518239304).

20145186000 is an abundant number, since it is smaller than the sum of its proper divisors (54891292608).

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

20145186000 is an equidigital number, since it uses as much as digits as its factorization.

20145186000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 20145186000 in words is "twenty billion, one hundred forty-five million, one hundred eighty-six thousand".