12948387840 has 480 divisors, whose sum is σ = 47305898640. Its totient is φ = 3386769408.

The previous prime is 12948387787. The next prime is 12948387871. The reversal of 12948387840 is 4878384921.

It is a happy number.

12948387840 is a `hidden beast` number, since 1 + 2 + 9 + 483 + 87 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55572364 + ... + 55572596.

Almost surely, 2^12948387840 is an apocalyptic number.

12948387840 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 12948387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23652949320).

12948387840 is an abundant number, since it is smaller than the sum of its proper divisors (34357510800).

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

12948387840 is an equidigital number, since it uses as much as digits as its factorization.

12948387840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 12948387840 in words is "twelve billion, nine hundred forty-eight million, three hundred eighty-seven thousand, eight hundred forty".