20748567840 has 1152 divisors, whose sum is σ = 92665036800. Its totient is φ = 3832012800.

The previous prime is 20748567823. The next prime is 20748567863. The reversal of 20748567840 is 4876584702.

It is a super-2 number, since 2×20748567840² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 104264061 + ... + 104264259.

It is an arithmetic number, because the mean of its divisors is an integer number (80438400).

Almost surely, 2^20748567840 is an apocalyptic number.

20748567840 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 20748567840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46332518400).

20748567840 is an abundant number, since it is smaller than the sum of its proper divisors (71916468960).

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

20748567840 is a wasteful number, since it uses less digits than its factorization.

20748567840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 20748567840 in words is "twenty billion, seven hundred forty-eight million, five hundred sixty-seven thousand, eight hundred forty".