20825217270 has 384 divisors, whose sum is σ = 66130017408. Its totient is φ = 4478976000.

The previous prime is 20825217229. The next prime is 20825217317. The reversal of 20825217270 is 7271252802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48094974 + ... + 48095406.

It is an arithmetic number, because the mean of its divisors is an integer number (172213587).

Almost surely, 2^20825217270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20825217270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33065008704).

20825217270 is an abundant number, since it is smaller than the sum of its proper divisors (45304800138).

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

20825217270 is a wasteful number, since it uses less digits than its factorization.

20825217270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

It can be divided in two parts, 208252 and 17270, that added together give a palindrome (225522).

The spelling of 20825217270 in words is "twenty billion, eight hundred twenty-five million, two hundred seventeen thousand, two hundred seventy".