12918054960 has 280 divisors, whose sum is σ = 45229739040. Its totient is φ = 3429651456.

The previous prime is 12918054953. The next prime is 12918055019. The reversal of 12918054960 is 6945081921.

12918054960 is a `hidden beast` number, since 1 + 29 + 1 + 80 + 549 + 6 + 0 = 666.

It is a super-2 number, since 2×12918054960² (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 zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 20936572 + ... + 20937188.

Almost surely, 2^12918054960 is an apocalyptic number.

12918054960 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 12918054960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22614869520).

12918054960 is an abundant number, since it is smaller than the sum of its proper divisors (32311684080).

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

12918054960 is an equidigital number, since it uses as much as digits as its factorization.

12918054960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 12918054960 in words is "twelve billion, nine hundred eighteen million, fifty-four thousand, nine hundred sixty".