20788959054528 has 1120 divisors, whose sum is σ = 78647096309760. Its totient is φ = 5285908316160.

The previous prime is 20788959054503. The next prime is 20788959054551. The reversal of 20788959054528 is 82545095988702.

20788959054528 is a `hidden beast` number, since 2 + 0 + 7 + 8 + 8 + 9 + 5 + 90 + 5 + 4 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 159 ways as a sum of consecutive naturals, for example, 7513175001 + ... + 7513177767.

Almost surely, 2^{20788959054528} is an apocalyptic number.

20788959054528 is a gapful number since it is divisible by the number (28) 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 20788959054528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39323548154880).

20788959054528 is an abundant number, since it is smaller than the sum of its proper divisors (57858137255232).

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

20788959054528 is a wasteful number, since it uses less digits than its factorization.

20788959054528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3475 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 580608000, while the sum is 72.

The spelling of 20788959054528 in words is "twenty trillion, seven hundred eighty-eight billion, nine hundred fifty-nine million, fifty-four thousand, five hundred twenty-eight".