20295204160 has 504 divisors, whose sum is σ = 65161424160. Its totient is φ = 5982197760.

The previous prime is 20295204131. The next prime is 20295204161. The reversal of 20295204160 is 6140259202.

It is a super-3 number, since 3×20295204160³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20295204161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36048039 + ... + 36048601.

It is an arithmetic number, because the mean of its divisors is an integer number (129288540).

Almost surely, 2^20295204160 is an apocalyptic number.

20295204160 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 20295204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32580712080).

20295204160 is an abundant number, since it is smaller than the sum of its proper divisors (44866220000).

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

20295204160 is a wasteful number, since it uses less digits than its factorization.

20295204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 20295204160 in words is "twenty billion, two hundred ninety-five million, two hundred four thousand, one hundred sixty".