20773780183200 has 1152 divisors, whose sum is σ = 78951802761216. Its totient is φ = 4688732160000.

The previous prime is 20773780183171. The next prime is 20773780183229. The reversal of 20773780183200 is 238108737702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20773780183171) and next prime (20773780183229).

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 20773780183200.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21482709117 + ... + 21482710083.

It is an arithmetic number, because the mean of its divisors is an integer number (68534551008).

Almost surely, 2^{20773780183200} is an apocalyptic number.

20773780183200 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 20773780183200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39475901380608).

20773780183200 is an abundant number, since it is smaller than the sum of its proper divisors (58178022578016).

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

20773780183200 is a wasteful number, since it uses less digits than its factorization.

20773780183200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 20773780183200 in words is "twenty trillion, seven hundred seventy-three billion, seven hundred eighty million, one hundred eighty-three thousand, two hundred".