20688097248 has 480 divisors, whose sum is σ = 75542100480. Its totient is φ = 5408363520.

The previous prime is 20688097229. The next prime is 20688097253. The reversal of 20688097248 is 84279088602.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20688097194 and 20688097203.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 32785893 + ... + 32786523.

It is an arithmetic number, because the mean of its divisors is an integer number (157379376).

Almost surely, 2^20688097248 is an apocalyptic number.

20688097248 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 20688097248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37771050240).

20688097248 is an abundant number, since it is smaller than the sum of its proper divisors (54854003232).

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

20688097248 is a wasteful number, since it uses less digits than its factorization.

20688097248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 20688097248 in words is "twenty billion, six hundred eighty-eight million, ninety-seven thousand, two hundred forty-eight".