20814291840 has 256 divisors, whose sum is σ = 67735180800. Its totient is φ = 5435351040.

The previous prime is 20814291833. The next prime is 20814291847. The reversal of 20814291840 is 4819241802.

It is an interprime number because it is at equal distance from previous prime (20814291833) and next prime (20814291847).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20814291847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24400854 + ... + 24401706.

It is an arithmetic number, because the mean of its divisors is an integer number (264590550).

Almost surely, 2^20814291840 is an apocalyptic number.

20814291840 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 20814291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33867590400).

20814291840 is an abundant number, since it is smaller than the sum of its proper divisors (46920888960).

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

20814291840 is a wasteful number, since it uses less digits than its factorization.

20814291840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 20814291840 in words is "twenty billion, eight hundred fourteen million, two hundred ninety-one thousand, eight hundred forty".