20253190320 has 480 divisors, whose sum is σ = 78725675520. Its totient is φ = 4746124800.

The previous prime is 20253190297. The next prime is 20253190327. The reversal of 20253190320 is 2309135202.

20253190320 is a `hidden beast` number, since 2 + 0 + 25 + 319 + 0 + 320 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20253190327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22832917 + ... + 22833803.

It is an arithmetic number, because the mean of its divisors is an integer number (164011824).

Almost surely, 2^20253190320 is an apocalyptic number.

20253190320 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 20253190320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39362837760).

20253190320 is an abundant number, since it is smaller than the sum of its proper divisors (58472485200).

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

20253190320 is a wasteful number, since it uses less digits than its factorization.

20253190320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 20253190320 in words is "twenty billion, two hundred fifty-three million, one hundred ninety thousand, three hundred twenty".