20073144087744 has 1792 divisors, whose sum is σ = 70079850086400. Its totient is φ = 4985487360000.

The previous prime is 20073144087739. The next prime is 20073144087793. The reversal of 20073144087744 is 44778044137002.

It is a super-2 number, since 2×20073144087744² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 43542611674 + ... + 43542612134.

It is an arithmetic number, because the mean of its divisors is an integer number (39107059200).

Almost surely, 2^{20073144087744} is an apocalyptic number.

20073144087744 is a gapful number since it is divisible by the number (24) 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 20073144087744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35039925043200).

20073144087744 is an abundant number, since it is smaller than the sum of its proper divisors (50006705998656).

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

20073144087744 is a wasteful number, since it uses less digits than its factorization.

20073144087744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 51.

The spelling of 20073144087744 in words is "twenty trillion, seventy-three billion, one hundred forty-four million, eighty-seven thousand, seven hundred forty-four".