20219166720 has 240 divisors, whose sum is σ = 70174833300. Its totient is φ = 5385486336.

The previous prime is 20219166679. The next prime is 20219166731. The reversal of 20219166720 is 2766191202.

It can be written as a sum of positive squares in 2 ways, for example, as 19537330176 + 681836544 = 139776^2 + 26112^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23592532 + ... + 23593388.

Almost surely, 2^20219166720 is an apocalyptic number.

20219166720 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 20219166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35087416650).

20219166720 is an abundant number, since it is smaller than the sum of its proper divisors (49955666580).

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

20219166720 is an frugal number, since it uses more digits than its factorization.

20219166720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 20219166720 in words is "twenty billion, two hundred nineteen million, one hundred sixty-six thousand, seven hundred twenty".