20744507288064 has 1280 divisors, whose sum is σ = 73418792325120. Its totient is φ = 5062530170880.

The previous prime is 20744507288053. The next prime is 20744507288101. The reversal of 20744507288064 is 46088270544702.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 20744507287995 and 20744507288013.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7914728674 + ... + 7914731294.

It is an arithmetic number, because the mean of its divisors is an integer number (57358431504).

Almost surely, 2^{20744507288064} is an apocalyptic number.

20744507288064 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 20744507288064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36709396162560).

20744507288064 is an abundant number, since it is smaller than the sum of its proper divisors (52674285037056).

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

20744507288064 is a wasteful number, since it uses less digits than its factorization.

20744507288064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 57.

The spelling of 20744507288064 in words is "twenty trillion, seven hundred forty-four billion, five hundred seven million, two hundred eighty-eight thousand, sixty-four".