20078206720 has 288 divisors, whose sum is σ = 57838201344. Its totient is φ = 6580224000.

The previous prime is 20078206693. The next prime is 20078206721. The reversal of 20078206720 is 2760287002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20078206721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7869445 + ... + 7871995.

It is an arithmetic number, because the mean of its divisors is an integer number (200827088).

Almost surely, 2^20078206720 is an apocalyptic number.

20078206720 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 20078206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28919100672).

20078206720 is an abundant number, since it is smaller than the sum of its proper divisors (37759994624).

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

20078206720 is a wasteful number, since it uses less digits than its factorization.

20078206720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The spelling of 20078206720 in words is "twenty billion, seventy-eight million, two hundred six thousand, seven hundred twenty".