20773173738240 has 3456 divisors, whose sum is σ = 99335207043072. Its totient is φ = 4028211855360.

The previous prime is 20773173738199. The next prime is 20773173738269. The reversal of 20773173738240 is 4283737137702.

20773173738240 is a `hidden beast` number, since 20 + 7 + 7 + 3 + 1 + 7 + 373 + 8 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23686628682 + ... + 23686629558.

It is an arithmetic number, because the mean of its divisors is an integer number (28742826112).

Almost surely, 2^{20773173738240} is an apocalyptic number.

20773173738240 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 20773173738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49667603521536).

20773173738240 is an abundant number, since it is smaller than the sum of its proper divisors (78562033304832).

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

20773173738240 is a wasteful number, since it uses less digits than its factorization.

20773173738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 54.

The spelling of 20773173738240 in words is "twenty trillion, seven hundred seventy-three billion, one hundred seventy-three million, seven hundred thirty-eight thousand, two hundred forty".