12689550720 has 1440 divisors, whose sum is σ = 60472344240. Its totient is φ = 2481684480.

The previous prime is 12689550701. The next prime is 12689550721. The reversal of 12689550720 is 2705598621.

12689550720 is a `hidden beast` number, since 1 + 26 + 8 + 9 + 550 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×12689550720² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12689550721) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 746444152 + ... + 746444168.

Almost surely, 2^12689550720 is an apocalyptic number.

12689550720 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 12689550720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30236172120).

12689550720 is an abundant number, since it is smaller than the sum of its proper divisors (47782793520).

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

12689550720 is a wasteful number, since it uses less digits than its factorization.

12689550720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 12689550720 in words is "twelve billion, six hundred eighty-nine million, five hundred fifty thousand, seven hundred twenty".