20814174720 has 560 divisors, whose sum is σ = 78895887840. Its totient is φ = 5249359872.

The previous prime is 20814174709. The next prime is 20814174769. The reversal of 20814174720 is 2747141802.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 35458267 + ... + 35458853.

It is an arithmetic number, because the mean of its divisors is an integer number (140885514).

Almost surely, 2^20814174720 is an apocalyptic number.

20814174720 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 20814174720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39447943920).

20814174720 is an abundant number, since it is smaller than the sum of its proper divisors (58081713120).

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

20814174720 is an frugal number, since it uses more digits than its factorization.

20814174720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 20814174720 in words is "twenty billion, eight hundred fourteen million, one hundred seventy-four thousand, seven hundred twenty".