12378562560 has 1120 divisors, whose sum is σ = 55949648832. Its totient is φ = 2548039680.

The previous prime is 12378562531. The next prime is 12378562561. The reversal of 12378562560 is 6526587321.

12378562560 is a `hidden beast` number, since 1 + 2 + 3 + 7 + 85 + 6 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×12378562560² (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 (12378562561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 301916140 + ... + 301916180.

Almost surely, 2^12378562560 is an apocalyptic number.

12378562560 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 12378562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27974824416).

12378562560 is an abundant number, since it is smaller than the sum of its proper divisors (43571086272).

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

12378562560 is an equidigital number, since it uses as much as digits as its factorization.

12378562560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 12378562560 in words is "twelve billion, three hundred seventy-eight million, five hundred sixty-two thousand, five hundred sixty".