20827609920 has 448 divisors, whose sum is σ = 79912707840. Its totient is φ = 5075951616.

The previous prime is 20827609877. The next prime is 20827609931. The reversal of 20827609920 is 2990672802.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12017374 + ... + 12019106.

It is an arithmetic number, because the mean of its divisors is an integer number (178376580).

Almost surely, 2^20827609920 is an apocalyptic number.

20827609920 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 20827609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39956353920).

20827609920 is an abundant number, since it is smaller than the sum of its proper divisors (59085097920).

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

20827609920 is a wasteful number, since it uses less digits than its factorization.

20827609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 20827609920 in words is "twenty billion, eight hundred twenty-seven million, six hundred nine thousand, nine hundred twenty".