12361567680 has 896 divisors, whose sum is σ = 57620367360. Its totient is φ = 2415329280.

The previous prime is 12361567613. The next prime is 12361567703. The reversal of 12361567680 is 8676516321.

12361567680 is a `hidden beast` number, since 1 + 2 + 3 + 6 + 1 + 567 + 6 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11309214 + ... + 11310306.

Almost surely, 2^12361567680 is an apocalyptic number.

12361567680 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 12361567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28810183680).

12361567680 is an abundant number, since it is smaller than the sum of its proper divisors (45258799680).

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

12361567680 is a wasteful number, since it uses less digits than its factorization.

12361567680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1138 counting only the distinct ones).

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

The spelling of 12361567680 in words is "twelve billion, three hundred sixty-one million, five hundred sixty-seven thousand, six hundred eighty".