20880250000 has 175 divisors, whose sum is σ = 53729214601. Its totient is φ = 7860800000.

The previous prime is 20880249977. The next prime is 20880250007. The reversal of 20880250000 is 5208802.

The square root of 20880250000 is 144500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 17 ways, for example, as 13826937744 + 7053312256 = 117588^2 + 83984^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20880250007) by changing a digit.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 1228249992 + ... + 1228250008.

Almost surely, 2^20880250000 is an apocalyptic number.

20880250000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20880250000 is the 144500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20880250000

20880250000 is an abundant number, since it is smaller than the sum of its proper divisors (32848964601).

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

20880250000 is an frugal number, since it uses more digits than its factorization.

20880250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Multiplying 20880250000 by its sum of digits (25), we get a 4-th power (522006250000 = 850⁴).

20880250000 divided by its sum of digits (25) gives a 4-th power (835210000 = 170⁴).

Adding to 20880250000 its reverse (5208802), we get a palindrome (20885458802).

The spelling of 20880250000 in words is "twenty billion, eight hundred eighty million, two hundred fifty thousand".