20754220032 has 704 divisors, whose sum is σ = 77362844160. Its totient is φ = 5350883328.

The previous prime is 20754220031. The next prime is 20754220033. The reversal of 20754220032 is 23002245702.

20754220032 is a `hidden beast` number, since 207 + 5 + 422 + 0 + 0 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (20754220031) and next prime (20754220033).

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

It is a junction number, because it is equal to n+sod(n) for n = 20754219978 and 20754220005.

It is not an unprimeable number, because it can be changed into a prime (20754220031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 183665608 + ... + 183665720.

Almost surely, 2^20754220032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20754220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38681422080).

20754220032 is an abundant number, since it is smaller than the sum of its proper divisors (56608624128).

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

20754220032 is a wasteful number, since it uses less digits than its factorization.

20754220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

Adding to 20754220032 its reverse (23002245702), we get a palindrome (43756465734).

The spelling of 20754220032 in words is "twenty billion, seven hundred fifty-four million, two hundred twenty thousand, thirty-two".