20456509296 has 160 divisors (see below), whose sum is σ = 56430316800. Its totient is φ = 6367334400.

The previous prime is 20456509267. The next prime is 20456509319. The reversal of 20456509296 is 69290565402.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 31041415 + ... + 31042073.

It is an arithmetic number, because the mean of its divisors is an integer number (352689480).

Almost surely, 2^20456509296 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 20456509296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28215158400).

20456509296 is an abundant number, since it is smaller than the sum of its proper divisors (35973807504).

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

20456509296 is a wasteful number, since it uses less digits than its factorization.

20456509296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 20456509296 in words is "twenty billion, four hundred fifty-six million, five hundred nine thousand, two hundred ninety-six".