12898448640 has 1152 divisors, whose sum is σ = 59055575040. Its totient is φ = 2587852800.

The previous prime is 12898448627. The next prime is 12898448657. The reversal of 12898448640 is 4684489821.

It is a happy number.

12898448640 is a `hidden beast` number, since 1 + 2 + 89 + 84 + 486 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98461375 + ... + 98461505.

It is an arithmetic number, because the mean of its divisors is an integer number (51263520).

Almost surely, 2^12898448640 is an apocalyptic number.

12898448640 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 12898448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29527787520).

12898448640 is an abundant number, since it is smaller than the sum of its proper divisors (46157126400).

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

12898448640 is a wasteful number, since it uses less digits than its factorization.

12898448640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 12898448640 in words is "twelve billion, eight hundred ninety-eight million, four hundred forty-eight thousand, six hundred forty".