12697534080 has 640 divisors, whose sum is σ = 56552031360. Its totient is φ = 2637619200.

The previous prime is 12697534067. The next prime is 12697534103. The reversal of 12697534080 is 8043579621.

12697534080 is a `hidden beast` number, since 1 + 26 + 97 + 534 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×12697534080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3990090 + ... + 3993270.

It is an arithmetic number, because the mean of its divisors is an integer number (88362549).

It is a 1-persistent number, because it is pandigital, but 2⋅12697534080 = 25395068160 is not.

Almost surely, 2^12697534080 is an apocalyptic number.

12697534080 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 12697534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28276015680).

12697534080 is an abundant number, since it is smaller than the sum of its proper divisors (43854497280).

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

12697534080 is a wasteful number, since it uses less digits than its factorization.

12697534080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3230 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12697534080 in words is "twelve billion, six hundred ninety-seven million, five hundred thirty-four thousand, eighty".