20788669440 has 1584 divisors, whose sum is σ = 97853543424. Its totient is φ = 4180377600.

The previous prime is 20788669427. The next prime is 20788669457. The reversal of 20788669440 is 4496688702.

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 670602225 + ... + 670602255.

Almost surely, 2^20788669440 is an apocalyptic number.

20788669440 is a gapful number since it is divisible by the number (20) 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 20788669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48926771712).

20788669440 is an abundant number, since it is smaller than the sum of its proper divisors (77064873984).

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

20788669440 is a wasteful number, since it uses less digits than its factorization.

20788669440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 20788669440 in words is "twenty billion, seven hundred eighty-eight million, six hundred sixty-nine thousand, four hundred forty".