12788098560 has 480 divisors, whose sum is σ = 46820565792. Its totient is φ = 3344302080.

The previous prime is 12788098553. The next prime is 12788098567. The reversal of 12788098560 is 6589088721.

12788098560 is a `hidden beast` number, since 1 + 2 + 78 + 8 + 0 + 9 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (12788098553) and next prime (12788098567).

It is a tau number, because it is divible by the number of its divisors (480).

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 = 12788098497 and 12788098506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12788098567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37946712 + ... + 37947048.

Almost surely, 2^12788098560 is an apocalyptic number.

12788098560 is a gapful number since it is divisible by the number (10) 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 12788098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23410282896).

12788098560 is an abundant number, since it is smaller than the sum of its proper divisors (34032467232).

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

12788098560 is an frugal number, since it uses more digits than its factorization.

12788098560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 12788098560 in words is "twelve billion, seven hundred eighty-eight million, ninety-eight thousand, five hundred sixty".