20768883600 has 240 divisors, whose sum is σ = 69025939200. Its totient is φ = 5331701760.

The previous prime is 20768883587. The next prime is 20768883601. The reversal of 20768883600 is 638886702.

It is a happy number.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20768883600.

It is not an unprimeable number, because it can be changed into a prime (20768883601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16111756 + ... + 16113044.

It is an arithmetic number, because the mean of its divisors is an integer number (287608080).

Almost surely, 2^20768883600 is an apocalyptic number.

20768883600 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 20768883600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34512969600).

20768883600 is an abundant number, since it is smaller than the sum of its proper divisors (48257055600).

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

20768883600 is a wasteful number, since it uses less digits than its factorization.

20768883600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 20768883600 in words is "twenty billion, seven hundred sixty-eight million, eight hundred eighty-three thousand, six hundred".