12355871760 has 640 divisors, whose sum is σ = 47044608000. Its totient is φ = 2969561088.

The previous prime is 12355871753. The next prime is 12355871767. The reversal of 12355871760 is 6717855321.

It is a happy number.

12355871760 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 587 + 1 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (12355871753) and next prime (12355871767).

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

It is not an unprimeable number, because it can be changed into a prime (12355871767) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119959869 + ... + 119959971.

It is an arithmetic number, because the mean of its divisors is an integer number (73507200).

Almost surely, 2^12355871760 is an apocalyptic number.

12355871760 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 12355871760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23522304000).

12355871760 is an abundant number, since it is smaller than the sum of its proper divisors (34688736240).

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

12355871760 is a wasteful number, since it uses less digits than its factorization.

12355871760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 12355871760 in words is "twelve billion, three hundred fifty-five million, eight hundred seventy-one thousand, seven hundred sixty".