20319979680 has 1536 divisors, whose sum is σ = 98842705920. Its totient is φ = 3762339840.

The previous prime is 20319979663. The next prime is 20319979699. The reversal of 20319979680 is 8697991302.

It is a super-2 number, since 2×20319979680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 159999777 + ... + 159999903.

It is an arithmetic number, because the mean of its divisors is an integer number (64350720).

Almost surely, 2^20319979680 is an apocalyptic number.

20319979680 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 20319979680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49421352960).

20319979680 is an abundant number, since it is smaller than the sum of its proper divisors (78522726240).

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

20319979680 is a wasteful number, since it uses less digits than its factorization.

20319979680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

It can be divided in two parts, 20319 and 979680, that added together give a palindrome (999999).

The spelling of 20319979680 in words is "twenty billion, three hundred nineteen million, nine hundred seventy-nine thousand, six hundred eighty".