12812167779840 has 960 divisors, whose sum is σ = 53927479045440. Its totient is φ = 2768173793280.

The previous prime is 12812167779809. The next prime is 12812167779881. The reversal of 12812167779840 is 4897776121821.

12812167779840 is a `hidden beast` number, since 1 + 281 + 2 + 167 + 77 + 98 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95479834 + ... + 95613926.

It is an arithmetic number, because the mean of its divisors is an integer number (56174457339).

Almost surely, 2^{12812167779840} is an apocalyptic number.

12812167779840 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 12812167779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26963739522720).

12812167779840 is an abundant number, since it is smaller than the sum of its proper divisors (41115311265600).

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

12812167779840 is a wasteful number, since it uses less digits than its factorization.

12812167779840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134175 (or 134156 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 63.

The spelling of 12812167779840 in words is "twelve trillion, eight hundred twelve billion, one hundred sixty-seven million, seven hundred seventy-nine thousand, eight hundred forty".