20755582848 has 768 divisors, whose sum is σ = 82335052800. Its totient is φ = 4843929600.

The previous prime is 20755582823. The next prime is 20755582849. The reversal of 20755582848 is 84828555702.

20755582848 is a `hidden beast` number, since 2 + 0 + 7 + 5 + 558 + 2 + 84 + 8 = 666.

It is a super-2 number, since 2×20755582848² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20755582794 and 20755582803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20755582849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47279013 + ... + 47279451.

It is an arithmetic number, because the mean of its divisors is an integer number (107207100).

Almost surely, 2^20755582848 is an apocalyptic number.

20755582848 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 20755582848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41167526400).

20755582848 is an abundant number, since it is smaller than the sum of its proper divisors (61579469952).

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

20755582848 is a wasteful number, since it uses less digits than its factorization.

20755582848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 7168000, while the sum is 54.

The spelling of 20755582848 in words is "twenty billion, seven hundred fifty-five million, five hundred eighty-two thousand, eight hundred forty-eight".