20788960256064 has 672 divisors, whose sum is σ = 80798363493120. Its totient is φ = 4935002112000.

The previous prime is 20788960256059. The next prime is 20788960256147. The reversal of 20788960256064 is 46065206988702.

20788960256064 is a `hidden beast` number, since 2 + 0 + 7 + 8 + 8 + 9 + 6 + 0 + 2 + 560 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 20788960255992 and 20788960256010.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58055682 + ... + 58412670.

It is an arithmetic number, because the mean of its divisors is an integer number (120235659960).

Almost surely, 2^{20788960256064} is an apocalyptic number.

20788960256064 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 20788960256064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40399181746560).

20788960256064 is an abundant number, since it is smaller than the sum of its proper divisors (60009403237056).

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

20788960256064 is a wasteful number, since it uses less digits than its factorization.

20788960256064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357139 (or 357126 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 20788960256064 in words is "twenty trillion, seven hundred eighty-eight billion, nine hundred sixty million, two hundred fifty-six thousand, sixty-four".